Consortional main: Research in Number Theory  Page description

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Details of project

 
Identifier
104183
Type NK
Principal investigator Pintz, János
Title in Hungarian Konzorcium, fő p.: Számelméleti kutatások
Title in English Consortional main: Research in Number Theory
Keywords in Hungarian számelmélet,analitikus számelmélet, kombinatorikus számelmélet, diofantikus számelmélet
Keywords in English number theory,analytic number theory, combinatorical number theory, diophantine number theory
Discipline
Mathematics (Council of Physical Sciences)100 %
Ortelius classification: Number theory
Panel Mathematics and Computing Science
Department or equivalent Alfréd Rényi Institute of Mathematics, HAS
Participants Balog, Antal
Biró, András
Gyarmati, Katalin
Harcos, Gergely
Károlyi, Gyula
Katona, Gyula
Krenedits, Sándor
Lapkova, Kostadinka
Maga, Péter
Révész, Szilárd
Ruzsa, Imre
Sárközy, András
Solymosi, Jozsef
Szemerédi, Endre
Tóth, Árpád
Starting date 2013-02-01
Closing date 2017-12-31
Funding (in million HUF) 32.977
FTE (full time equivalent) 20.59
state running project





 

Final report

 
Results in Hungarian
A Budapesten működő csoport analitikus és kombinatorikus jellegű problémákat vizsgált. A csoport tagjai fontos szerepet játszottak Zhang, Maynard és Tao nemrégi szenzációs eredményeinek (mely szerint végtelen sok korlátos prímhézag van) továbbfejlesztésében és a módszernek Erdős több 60-70 éves egymást követő prímek hézagaira vonatkozó problémáinak megoldásában.A csoport fontos eredményeket ért el az automorf függvények elméletében javítva olyan híres szerzők korábbi eredményeit, mint Sarnak és Iwaniec. A csoport más tagjai sikerrel oldottak meg az egész számok részhalmazainak különbségére és összegére vonatkozó problémákat, továbbá fontos eredményeket értek el összeg-szorzat becslésekre vonatkozóan. A Debrecenben működő csoport két könyvet és számos cikket publikált. Evertse és Győry könyvei az első átfogó munkák S egységek és diszkrimináns forma egyenletekre vonatkozóan, beleértve ezek alkalmazásait is. A munkák nagyrészt a belföldi résztvevők és neves külföldi kutatók közti együttműködésen alapultak. Bérczes Attila MTA doktori fokozatot szerzett mig Husti Andrea és Tengely Szabolcs habilitált a Debreceni Egyetemen. Összességében a konzorcium több mint 200 tudományos cikket publikált nemzetközi folyóiratokban, kiadványokban és az említett 2 könyvet a Cambridge University Press kiadásában.
Results in English
The research group in Budapest considered problems of analytic and combinatorial nature. Members of the group played important role in developing further the recent striking results of Zhang and Maynard proving the infinitude of bounded gaps between consecutive primes and applications of the methods to solve several 60-70 years old conjectures of Erdős concerning gaps between consecutive primes. The group reached important results concerning automorphic functions improving several results of famous authors of the area (e.g. Sarnak and Iwaniec). Other members of the group worked with great success on problems concerning sumsets and difference sets of integers and on the recently very frequently observed area of sum-product estimates. The research group in Debrecen published two books and numerous scientific papers The books of Evertse and Győry are the first comprehensive works on S-unit equations as well as discriminant form equations and their applications. Heavy cooperation within the members of the research group and with international highly estimated experts is a characteristic feature of our investigations. This project supported the scientific carrier of the younger members of our group. Attila Bérczes defended his DSc thesis; Andrea Huszti and Szabolcs Tengely habilitated at the University of Debrecen. The consortial research group published more than two hundred papers in English in international journals and the mentioned two books at Cambridge University Press.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=104183
Decision
Yes





 

List of publications

 
Bazsó A., Mező I.: Some notes on alternating power sums of arithmetic progressions, Journal of Integer Sequences, to appear, 2018
Bazsó A., Bérczes A., Hajdu L., Luca F.: Polynomial values of sums of products of consecutive integers, Mh. Math. , to appear, 2018
Bugeaud Y, Evertse J. H., Győry K.: S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points, Acta Arith., to appear, 2018
Bertók Cs., Hajdu L., Pethő A. Schinzel A.: On the smallest number of terms of vanishing sums of units in number fields, J. Number Theory, to appear, 2018
Bérczes A.: Effective results for Diophantine problems over finitely generated domains, MTA doktori disszertáció, 2017
Bérczes A., Pink I, Savas G., Soydan G.: On the diophantine equation (x+1)^k + (x+2)^k + ... +(2x)^k = y^n, J. Number Theory 183, 326-351., 2018
Folláth J., Herendi T.: Two Stage Gaussian Sampling II: Complexity estimates, to appear, 2018
Győry K., Hajdu L., Tijdeman R.: Representation of finite graphs as difference graphs of S-units II, Acta Math. Hungar. 149, 423-447., 2016
Huszti A., Oláh N.: A Simple Authentication Scheme for Clouds, IEEE Conference on Commmunication and network Security (SPC 2016), pp. 565-569., 2016
Pintér Á., Rakaczki Cs.: On the decomposability of linear combinations of Euler polynomials, Mathematical Notes - Miskolc 181, 407-415., 2017
Tengely Sz.: Composite Rationalk Functions and Arithmetic Progressions, Publ. Math. Debrecen, to appear, 2018
Tengely, Sz., Ulas M.: On a problem of Pethő, J. Symbolic Computations, to appear, 2018
Tengely Sz., Ulas M.: On products of disjoint blocks of arithmetic progressions and related questions, J. Number Theory 165, 67-83, 2016
Zsuga J, Erdei T, Szabó K, Kampe N., Papp P., Pintér Á., Szentmiklósi A.J., Juhász B., Szilvássy Z., Gesztelyi R.: Methodical Challenges and a Possible Resolution in the Assessment of Receptor Reserve for Adenosine, an Agonist with Short Half-Life, Molecules 22, Paper E839, 17 pp., 2017
Hladky J., Komlós J., Piquet D., Simonovits M., Stein M., Szemerédi E.: The approximate Loebl-Komlós-Sós conjecture and embedding trees in sparse graphs, Electron. Res. Announc. Math. Sci. 22, 1-15, 2015
Szemerédi E.: Arithmetic progressions, different regularity lemmas and removal lemmas, Commun. Math. Stat. 3, no.3, 315-328., 2015
Szemerédi E.: Erdős's unit distance problem, Open problems in Mathematics, Springer, (Cham), pp. 459-477., 2016
Szemerédi, E.: Structural approach to subset sum problems, Found. Comput. Math. 16, no.6, 1737-1749., 2016
Rödl, V., Rucinsky A., Schacht, M. Szemerédi E.: On the Hamiltonicity of triple systems with high minimum degree, Ann. Comb. 21, no.1, 95-117., 2017
Pintz J.: On the ratio of consecutive gaps between primes, Analytic Number Theory, Springer, Cham, pp. 285-304., 2015
Hladky J., Komlós J., Piquet D., Simonovits M., Stein M., Szemerédi E.: The approximate Loebl-Komlós-Sós conjecture I: The sparse decomposition, SIAM J. Discrete Math. 31, no2, 945-982., 2017
Hladky J., Komlós J., Piquet D., Simonovits M., Stein M., Szemerédi E.: The approximate Loebl- Komlós-Sós conjecture II: The rough structure of LKS graphs, SIAM J. Discrete Math. 31, no. 2, 983-1016., 2017
Hladky J., Komlós J., Piquet D., Simonovits M., Stein M., Szemerédi E.: The approximate Loebl-Komlós-Sós conjecture III: The finer structure of LKS graphs, SIAM J. Dicrete Math. 31, no.2, 1017-1071., 2017
Hladky J., Komlós J., Piquet D., Simonovits M., Stein M., Szemerédi E.: The approximate Loebl-Komlós-Sós conjecture IV: Embedding techniques and the proof of the main result, SIAM J. Discrete Math. 31, no. 2, 1072-1148., 2017
Faghani M., Katona G.O.H.,: Results on the Wiener profile, AKCE International Journal of Graphs and Combinatorics, to appear, 2018
Horváth M., Ruzsa I.Z.: Connections between the cardinality of sumsets and difference sets near the extreme, Ann. Univ. Sci. Budapest 59, 137-142., 2016
Guerreiro J., Ruzsa I.Z.: Monochromatic paths for the integers, European J. Comb 58, 283-288., 2016
Glazryna P. Révész Sz.: Turán type oscillation inequalities in L_q norm on the boundary of convex domains, Math. Inequal. Appl., 20, No.1, 149-180., 2017
Glazyrina P., Révész Sz.: Turán type converse Markov inequalities in L_q on a generalized Erod class of convex domains, J. Approx. Theory 221, 62-76., 2017
Krenedits S., Révész Sz.: The point value maximization problem nfor positive definite functions supported in a given subset of a locally compact group, Proc. Edinb. Math. Soc., to appear, 2018
Katona G.O.H.: A general 2-part Erdős-Ko-Rado theorem, Opuscula Mathematica 37, no.4, 577-588., 2017
Harcos G: Primek, Polignac, Polymath, Mat. Lapok (N.S.) 20, no.2, 1-13., 2014
Bérczes A., Dujella A., Hajdu A., Tengely Sz.: Finiteness results for F-Diophantine sets, Mh. Math., 180, 469-484., 2016
Evertse, J.H., Győry, K.: Discriminant Equations in Diophantine Number theory, Cambridge University Press, 2017
Tengely, Sz.: On a peoblem of Erdős and Graham, Periodica Math. Hung. 72, no.1, 23-28., 2016
D. Kaptan: A note on small gaps between primes in arithmetic progressions, Acta Arith. 172, no.4, 351-375., 2016
J. Pintz: An approximation to the twin prime conjecture and the parity phenomenon, Indag. Math. 26, 883-896., 2015
Bárány I., Solymosi J.: Gershgorin disks for multiple eigenvalues of non-negative matrices, A Journey Through Discrete Mathematics, A Tribute to Jiří Matoušek Eds. Loebl, M., Nešetřil, J., Thomas, R., Springer, pp. 123-133, 2017
Dartyge, C., Gyarmati, K., Sárközy A.: On irregularities of distribution of binary sequences relative to arithmetic progressions, I (General results), Unif. Distr. Theory, 12 (1), 55-67, 2017
Pintz J.: Patterns of primes in arithmetic progressions, Number Theory – Diophantine Problems, Uniform Distribution and Applications, Festschrift in Honour of Robert F. Tichy, Eds. Ch. Elsholtz, P. Grabner, Springer, pp.369-379, 2017
Bérczes A., Luca F., Pink I., Ziegler V.: On trinomials with integral S-unit coefficients having a quadratic factor, Indag. Math. 28, 1200-1209, 2017
Evertse, J. H., Győry, K.: Discriminant equations in diophantine number theory, Cambridge University Press, 2016
Evertse, J. H., Győry, K.: Effective results for discriminant equations over finitely generated domains, Number Theory - Diophantine problems, Uniform distribution and applications,Springer, pp. 237-256., 2017
Bertók Cs., Hajdu L., Pethő A.: On the distribution of polynomials with bounded height, J. Number Theory 179, 172-184., 2017
Akiyama, S., Evertse, J.-H., Pethő, A.: On nearly linear recurrence sequences, Number Theory - Diophantine problems, Uniform Distribution and Applications - Festschrift in Honour of Robert F. Tichy's 60th Birthday, Eds.: Elsholtz, Grabner, pp.1-24, 2017
Fulek R., Mojarrad H.N., Naszódi M., Solymosi J., Stich S.U., Szedlák M.: On the existence of ordinary triangles, Computational Geometry 66, pp. 28-31, 2017
Solymosi J., Wong Ching,: On the number of non-intersecting hexagons in 3-space, Discrete Geometry and Convexity, BÁRÁNY 70, Springer, pp. 102-106, 2017
Dvir Z., Garg A., Oliveira R., Solymosi J.,: Rank bounds for design matrices with block entries and geometric applications, Discrete Analysis, to appear, 2018
Solymosi J., Wong Ching: An application of kissing number in sum-product estimates, Acta Math. Hungar., to appear, 2018
Gyarmati K,: On the cross-combined measure of families of binary lattices and sequences, Lecture Notes in Computer Science, 2018
Dartyge C., Gyarmati K., Sárközy Á.: On irregularities of distribution of binary sequences relative to erithmetic progressions, II (Special sequences), Unif. Distr. Theory, to appear, 2018
Gyarmati K., Sárközy A.: On reducible and primitive subsets of F_p, II., Quart. J. Math. Oxford 68 (1), 59-77., 2017
Mauduit C., Rivat J., Sárközy A.: On the digits of sumsets, Canadian J. Math. 69 (3), 595-612., 2017
Mauduit C., Rivat J., Sárközy A.: On the distribution of digits of sumns a+b, Ramanujan J., to appear, 2018
Mérai L., Rivat J., Sárközy A.: The measures of pseudorandomness and the NIST Tests,, Lecture Notes in Computer Science, to appear, 2018
Bíró A.: Local averages of the hyperbolic circle problem for Fuchsian groups, Mathematika, to appear, 2018
Bíró A.: Some integrals of hypergeometric functions, Acta Math. Hungar. 152, no. 1, 58-71., 2017
Efimov, A., Gaál M., Révész S.G.,: On integral estimates of nonnegative positive definite functions, Bull. Austr. Math. Soc. 96, no.1, 117-125., 2017
Gyula O.H. Katona, Daniel T. Nagy,: Incomparable copies of a poset in the Boolean lattice, Order, 32(2015) 419-427., 2015
Gyula O.H. Katona: Turán's graph theorem, measure and probability, in: Number theory, Analysis, and Combinatorics, Proceedings of the Paul Turán Memorial conference held Augiust 22-26, 2011 in Budapest, de Gruyter,, 2014
G.O.H. Katona,D. T. Nagy: Union-intersecting set systems, Graphs and Combinatorics 31, 1507-1516., 2015
Sárközy A.: On pseudorandomness of families of binary sequences, J. Applied Discrete Math. 216 (3), 670-676, 2017
He Bo; Pintér Á; Togbé A; Varga N: A generalization of a problem of Mordell, Glasnik Matematicki, 50(70) 35-41., 2015
J. Pintz: Polignac numbers, Conjecture of Erdős on Gaps between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture,, in: From Arithmetic to Zeta-Functions - Number Theory on Memory of Wolfgang Schwarz, Eds. J. Sander, J. Steuding, R. Steuding, Springer, 367-384, 2016
Gyula O.H. Katona: Turán's graph theorem, measure and probability, in: Number theory, Analysis, and Combinatorics, Proceedings of the Paul Turán Memorial conference held Augiust 22-26, 2011 in Budapest, de Gruyter, 2014
Ruzsa I. Z.: More differences than multiple sums, Combinatorica, to appear, 2017
Biró A., Lapkova, K.: The class number one problem for the real quadratic fields $\mathbb{Q}\left(\sqrt{(an)^2+4a}\right)$, Acta Arithmetica 172 (2), 117-131, 2016
Duke, W. D., Imamoglu, Ö., Tóth Á.: Geometric invariants for real quadratic fields, Annals of Math. 184 (3), 949-990, 2016
Duke W. D., Imamoḡlu Ö., Tóth Á.: Modular cocycles and linking numbers, Duke Math. J., to appear, 2017
Lapkova, K., Biro, A.: The class number one problem for the real quadratic fields Q(\sqrt{(an)^2+4a}), Acta Arith. 172 no. 2, 117-131, 2016
Lapkova, K.: On the k-free values of the polynomial xy^k+C, Acta Math. Hungar., 149 (1), 190-207, 2016
Lapkova, K.: Explicit upper bound for an average number of divisors of quadratic polynomials, Arch. Math. (Basel) 106, no. 3, 247-256, 2016
Keleti T., Matolcsi M., Oliveira Filho, F. M., Ruzsa I. Z.: Better bounds for planar sets avoiding unit distances, Discrete & Computational Geometry 55 (3), 642-661, 2016
Bárány I., Solymosi J.: Gershgorin disks for multiple eigenvalues of non-negative matrices, A Journey Through Discrete Mathematics, A Tribute to Jiří Matoušek Eds. Loebl, M., Nešetřil, J., Thomas, R., Springer, 2017
Solymosi J., Ching Wong: Cycles in graphs of fixed girth with large size, European Journal of Combinatorics 62, May, 124-131, 2017
Ellenberg, J. S., Solymosi, J., Zahl, J.: New bounds on curve tangencies and orthogonalities, Discrete Analysis 18, 22 pp., 2016
Solymosi D., Solymosi J.: Small cores in 3-uniform hypergraphs, Journal of Combinatorial Theory, Series B, Volume 122, January, 897-910, 2017
Solymosi, J., de Zeeuw, F.: Incidence bounds for complex algebraic curves on Cartesian products, New Trends in Intuitive Geometry, Bolyai Soc. Math. Studies, Ambrus G. et al. eds., Springer, 2017
Balog, A., Shakan, G.: On the sum of dilations of a set, Acta Arithmetica, 164, 153-162, 2014
Balog, A., Rochet-Newton, O.: New sum-product estimates for real and complex numbers, Discrete and Computational Geometry 53, 825-846, 2015
Balog, A., Shakan, G.: Sum of dilates in vector spaces, North-Western European Journal of Mathematics 1, 46-54, 2015
Balog, A., Wooley, T. D.: A low-energy decomposition theorem, Advance Access in Quart. J. of Math., Oxford, 2016
Balog A., Rivat J., Sárközy A.: On arithmetic properties of sumsets, Acta Math. Hungar. 144 (1), 18-42, 2014
Gyarmati, K., Mauduit, C., Sárközy A.: On finite pseudorandom binary lattices, J. Applied Discrete Math. 216 (3), 589-597, 2017
Dartyge, C., Gyarmati, K., Sárközy A.: On irregularities of distribution of binary sequences relative to arithmetic progressions, II (Special sequences), Unif. Distr. Theory, to appear, 2017
Révész Sz. Gy.: A discrete extension of the Blaschke rolling ball theorem, Geom Dedicata 182: 51–72., 2016
Blomer, V. Harcos, G. Maga, P., Milicevic, D.: The sup-norm problem for GL(2) over number fields, to appear, 2017
Blomer, V. Harcos, G., Milicevic, D.: Bounds for eigenforms on arithmetic hyperbolic 3-manifolds, Duke Math. J. 165, 625-659, 2016
Pintz J.: Distribution of Zeta Zeros and the Osclllation of the Error Term of the Prime Number Theorem, Festschrift for the 125th anniversary of the birth of I. M. Vinogradov, Proc. Of the Steklov Institute, to appear, 2017
Pintz J.: Patterns of primes in arithmetic progressions, Number Theory – Diophantine Problems, Uniform Distribution and Applications, Festschrift in Honour of Robert F. Tichy, Eds. Ch. Elsholtz, P. Grabner, Springer, to appear, 2017
Huszti A., Oláh N.: A Simple Authentication Scheme for Clouds, IEEE Conference on Communications and Network Security, 2nd workshop on Security and Privacy in the Cloud (SPC 2016), to appear, 2017
Bérczes A., Dujella A., Hajdu L., Tengely Sz.: Finiteness results for F-Diophantine sets, Monatshefte für Mathematik, 180: 469–484, 2016
Bérczes A., Luca F., Pink I., Ziegler V.: Finiteness results for Diophantine triples with repdigit values, Acta Arithmetica, 172: 133–148, 2016
Bérczes, A., Hajdu, L., Miyazaki, T., Pink, I.: On the equation 1^k+2^k+…+x^k=y^n for fixed x, J. Number Theory 163: 43-60, 2016
Bérczes, A., Hajdu, L., Miyazaki, T., Pink, I.: On the Diophantine equation 1+x^a+z^b=y^n, Journal of Combinatorics and Number Theory 8, 145-154, 2016
Bérczes, A., Bilu, Y., Luca, F.: Diophantine equations with products of consecutive members of binary recurrences, Ramanujan J., to appear, 2016
Bérczes A., Luca F., Pink I., Ziegler V.: On trinomials with integral S-unit coefficients having a quadratic factor, to appear, 2017
Pintér Á., Rakaczki Cs.: On the decomposability of linear combinations of Bernoulli polynomials, Monatshefte Math. 180, 631-648, 2016
Evertse, J. H., Győry, K.: Discriminant equations in diophantine number theory, Cambridge University Press, 2016
Győry, K.: On some norm inequalities and discriminant inequalities in CM-fields, Publ. Math. 89, 513-523, 2016
Evertse, J. H., Győry, K.: Effective results for discriminant equations over finitely generated domains, Number Theory - Diophantine problems, Uniform distribution and applications, to appear, 2017
Hajdu, L., Laishram, S., Tengely, Sz.: Power values of sums of products of consecutive integers, Acta Arith. 172, 333-349, 2016
Bertók Cs., Hajdu L., Pethő A.: On the distribution of polynomials with bounded height, Publ. Math., to appear, 2017
Akiyama, S., Evertse, J.-H., Pethő, A.: On nearly linear recurrence sequences, Number Theory - Diophantine problems, Uniform Distribution and Applications - Festschrift in Honour of Robert F. Tichy's 60th Birthday, Eds.: Elsholtz, Grabner, 2017
Komornik, V., Pedicini, M., Pethő, A.: Multiple common expansions in non-integer bases, Acta Sci. Math. (Szeged), to appear, 2017
Bazsó A., Mező I.: On the coefficients of polynomials related to alternating power sums of arithmetic progressions, to appear, 2017
Katona Gy. O. H.: Around the Complete Intersection Theorem, Discrete Applied Mathematics 216 (3), 618-621, 2017
Ruzsa I. Z.: Exact additive complements, Quart. J. Math. Oxford, to appear, 2017
Bérczes A., Dujella A., Hajdu A., Tengely Sz.: Finiteness results for F-Diophantine sets, Mh. Math., to appear, 2016
Bérczes A., Luca F., Pink I., Ziegler V.: Finiteness results for Diophantine triples with repdigit values, Acta Arith., to appear, 2016
Bérczes A., Hajdu L. Miyazaki T., Pink I.: On the equation 1^k+2^k+...x^k=y^n for fixed x, J. Number Theory, to appear, 2016
Evertse, J.H., Győry, K.: Discriminant Equations in Diophantine Number theory, Cambridge University Press, to appear, 2016
Huszti, A.: Analyzing security requirements for cryptographic protocols, Thesis for Habilitation, Debrecen Univ., 2015
Akiyama, S., Pethő, A.,: On the distribution of polynomials with bounded roots, II, Polynomial with integer coefficients, Unif. Distrib. Theory 9, 5-19., 2014
Ádámkó, É., Pethő, A.: Location-stamp for GPS coordinates, Acta Univ. Sap., Informatica 5, 63-76., 2013
Aszalós, L., Hajdu, L., Pethő A.,: On a correlational clustering of integers, Indag. Math. , to appear, 2015
Pethő, A., Varga, P., Weitzer, M.: On Shift Radix Systems over Imaginary Quadratic Euclidean Domains, Acta Cybernetica 22, 485-498., 2015
Pethő A., Varga, P.,: Canonical number systems over imaginary quadratic Euclidean domains, Colloq. Math., to appear, 2016
Tengely, Sz.: On the Lucas sequence, Periodica Math. Hung. 71 (2), 236-242., 2015
Tengely, Sz.: On a peoblem of Erdős and Graham, Periodica Math. Hung., to appear, 2016
A., Hajdu, L.,Laishram,S., Tengely, Sz.: Power values of sums of products of consecutive integers, Acta Arith., to appear, 2016
Tengely, Sz., Varga, N.: Rational function variant of a problem of Erdős and Graham, Glasnik Matematicki 50 (1), 65-76., 2015
D. Kaptan: A note on small gaps between primes in arithmetic progressions, Acta Arith., to appear, 2016
D. A. Kaptan: A note on small gaps between primes in arithmetic progressions, Acta Arith., to appear, 2016
V. Blomer, P. Maga: Subconvexity for sup-norms of cusp forms on PGL(4), Selecta Math., to appear, 2016
G. Harcos, M. Iazzi, Y.-H. Liu, M. Troyer, L. Wang: Split orthogonal group: A guiding principle for sign-problem-free fermonic simulations, Phys. Rev. Lett. 115, no. 25, Art ID 250601, 6 pp., 2015
G. Harcos: Prímek, Polignac, Polymath, Mat. Lapok (N:S.) 20, no.2, 1-13., 2014
V. Blomer, G. Harcos, D. Milicevic: Bounds for eigenforms on arithmetic hyperbolic 3-manifolds, Duke Math. J., to appear, 2016
A. Birő, K. Lapkova: The class number one problem for the real quadratic fields Q(sqrt{an^2+4a}), Acta Arith. 172, no.2, 117-131., 2016
S. Krenedits, Sz. Gyí. Révész: Carathéodory-Fejér type extremal problems on locally compact groups, J. Approx. Théory 194, 108-131., 2015
A. G. Babenko, M.V. Deikalova, Sz. G. Révész: Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval, Proc. Steklov Institute of Mathematics (Supplementary Issues) 21, 46-53., 2015
A. Balog, A. Granville, J. Solymosi: Gaps between fractional parts, and additive combinatorics, The Quarterly Journal of Mathematics hav012, 2015
O.E. Raz, M. Sharir, J. Solymosi: On Triple Intersections of Three Families of Unit Circles, Discrete and Computational Geometry 54, no.4, 2015
O. E. Raz, M. Sharir, J. Solymosi: Polynomials vanishing on grids: The Elekes_Ronyai problem revisited, Amer. J. Math., to appear, 2016
A. Granville, J. Solymosi: Sum-Product formulae, Recent Trends in Combinatorics, the ImA Volumes in Mathematics and its Applications 159 (Eds. A. Beveridge et al.), Springer International Publishing, Switzerland, to app, 2016
Gyarmati, K., Sárközy, A.: On reducible and primitive subsets of F_p, Integers (EJCNT) 15A, No. A6, 21 pp., 2015
C. Dartyge, K. Gyarmati, A. Sárközy: On irregularities of distribution of sequences relative to arithmetic progressions I. (General results), Unif. Distrib. Theory, to appear, 2016
K. Gyarmati, A. Sárközy: On reducible and primitive subsets of F_p, II, Quart. J. Math. Oxford, to appear, 2016
C. Mauduit, J. Rivat, A. Sárközy: On the difits of sumsets, Canadian J. Math., to appear, 2016
K. Gyarmati, C. Mauduit, A. Sárközy: Generation of further pseudorandom binary sequences, I (Blowing up a single sequence),, Unif. Distr: Theory 10 , 35-61., 2015
J. Pintz: An approximation to the twin priome conjecture and the parity phenomenon, Indag. Math. 26, 883-896., 2015
J. Pintz: Polignac numbers, Conjecture of Erdős on Gaps between Primes, Arithmetic Progressions in Primes, and the Bounded Gap Conjecture,, in: From Arithmetic to Zeta-Functions - Number Theory on Memory of Wolfgang Schwarz, Eds. J. Sander, J. Steuding, R. Steuding, Springer, to appear, 2016
F. Bayart, I.Z.Ruzsa: Difference sets and frequently hyperweighted shifts, Ergodic Theory and Dynamical Systems 35 (3), 691-709, 2015
G. Harcos: Twisted Hilbert modular L-functions and spectral theory, Proc. CIMPA-UNESCO-CHINA Research School, 2014
R. Schwartz, J. Solymosi: Combinatorial applications of the subspace theorem,, Geometry, Structure and Randomness in Combinatorics, Edizioni della Normale di Pisa, 2014
O.E. Raz, M. Sharir, J. Solymosi: On triple intersections of three families of unit circles,, ACM, The 30th Annual Symposium on Computational Geometry (SoCG 2014), 2014
O. E. Raz, M. Sharir, J. Solymosi: Polynomials vanishing on grids: The Elekes-Rónyai problem revisited, ACM, The 30th Annual symposium on Computational Geometry (SoCG 2014), 2014
M. Sharir, A. Scheffer, J. Solymosi: Distinct distances on two lines, J. Comb. Theory, Ser. A. 120 (2013), No. 7, 1732-1736, 2013
A. Balog, J. Rivat, A. Sárközy: On arithmetic properties of sumsets, Acta Math. Hungar. Acad. Sci., 2014
J. Pintz: Paul Erdős and the difference of primes, Erdős Centennial, Bolyai Soc. Math. Stud. , Vol. 25, Springer, pp. 485-513, 2013
J. Pintz: The twin prime conjecture, Bonded gaps between consecutive primes, and Polignac numbers, Eureka, The Archimedian Journal, 2014
B. Farkas, J. Pintz, Sz. Gy. Révész: On the optimal weight function in the Goldston-Pintz-Yildirm method for finding small gaps between consecutive primes, Number theory, Analysis, and Combinatorics, Proceedings of the Paul Turán Memorial conference held Augiust 22-26, 2011 in Budapest, de Gruyter, Berlin, pp. 75-104, 2014
J. Pintz: Some new results on small gaps between consecutive primes, Number theory, Analysis, and Combinatorics, Proceedings of the Paul Turán Memorial conference held Augiust 22-26, 2011 in Budapest, de Gruyter, Berlin, pP. 261-278., 2014
A. Sárközy: On multiplicative decompositions of the set of shifted quadratic residues modulo p, Number theory, Analysis, and Combinatorics, Proceedings of the Paul Turán Memorial conference held Augiust 22-26, 2011 in Budapest, de Gruyter, Berlin, pp. 295-307, 2014
K. Gyarmati, C. Mauduit, A. Sárközy: On linear complexity of binary lattices, II,, Ramanujan J., 2014
K. Gyarmati, C. Mauduit, A. Sárközy: The cross-relation measure for families of binary sequences, Applications of Algebra and Number Theory (Lectures on the Occasion of Harald Niederreiter's 70th Birthday, 2014
K. Gyarmati, A. Sárközy: On reducible and primitive subsets of F_p, Integers (EJCNT), 2014
Schwartz R; Solymosi J: Combinatorial applications of the subspace theorem, pp 123-140 in: Geometry, Structure and Randomness in Combinatorics, Scuola Normale Superiore, 2014
Akiyama S; Pethő A: On the distribution of polynomials with bounded roots I. Polynomials with real coefficients, J Math Soc Japan 66: 927-949, 2014
Raz OE; Sharir M; Solymosi J: Polynomials vanishing on grids: The Elekes--Rónyai problem revisited, pp 251-260 in: The 30th Ann Symp on Comp Geometry (SoCG 2014), ACM Press, New York, 2014
Raz OE; Sharir M; Solymosi J: On triple intersections of three families of unit circles, pp 198-205 in: The 30th Ann Symp on Comp Geometry (SoCG 2014), ACM Press, New York, 2014
Hajdu L; Kovács T; Pethő A; Pohst M: An optimization problem for lattices, Experimental Math 22: 4, 443-455, 2013
Pethő A; Tengely Sz: On composite rational functions, pp 241-259 in: Number theory, analysis, and combinatorics, De Gruyter, Berlin, 2014
Hirata-Kohno N; Pethő A: On a key exchange protocol based on Diophantine equations, Infocommunications Journal 5: 17-21, 2013
Komornik V; Pethő A: Common expansions in noninteger bases, Publ Math Debrecen 85: 489-501, 2014
Akiyama S; Brunotte H; Pethő A; Steiner W; Thuswaldner AJ: Problems and conjectures around shift radix systems, Open Problems in Mathematics Vol 2, 2014
Bérczes A; Pethő A: On the sumset of binary recurrence sequences, Publ Math Debrecen 84: 279-290, 2014
Bérczes A; Hajdu L; Hirata-Kohno N; Kovács T; Pethő A: A key exchange protocol based on Diophantine equations and S-integers, JSIAM Letters 6: 85-88, 2014
Akiyama S; Aszalós L; Hajdu L; Pethő A: Correlation Clustering of Graphs and Integers, Infocommunications journal 6: 3-12., 2014
Győry K; Kovács T; Péter Gy; Pintér Á: Equal values of standard counting polinomials, Publ Math Debrecen 84: 259-277, 2014
Bérczes A; Evertse JH; Győry K: Effective results for Diophantine equations over finitely generated domains, Acta Arith 163: 71-100, 2014
Győry K; Hajdu L; Tijdeman R: Representation of finite graphs os difference graphs of S-units, I, J Comb Theory A 127: 314-335, 2014
Evertse JH; Győry K: Unit Equations in Diophantine Number Theory, Cambridge University Press, megjelenőben, 2015
Bennett MA; Pintér Á: Intersections of recurrence sequences, Proc Amer Math Soc, megjelenőben, 2015
He Bo; Pintér Á; Togbé A; Varga N: A generalization of a problem of Mordell, Glasnik Matematicki, megjelenőben, 2015
He Bo; Pintér Á; Togbé A: On simultaneous Pell equation and related Thue equations, Proc Amer Math Soc, megjelenőben, 2015
Győry K; Kovács T; Péter Gy; Pintér Á: Equal values of standard counting polynomials, Publ Math Debrecen 84: (1-2) 259-277, 2014
Hajdu L; Pintér Á; Tengely Sz; Varga N: Equal values of figurate numbers, Journal of Number Theory 137: 130-141, 2014
Bilu YF; Fuchs C; Luca F; Pintér Á: Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations, Publ Math Debrecen 82: (1) 219-254, 2013
He Bo; Pink I; Pintér Á; Togbé A: On the diophantine inequality |X^2-cXY^2+Y^4|<=c+2, Glasnik Matematicki 48: (2) 291-299, 2013
Kim D; Park YK; Pintér Á: A diophantine problem oncerning polygonal numbers, Bull Australian Math Soc 88: (2) 345-350, 2013
Pintér Á; Srivastava HM: Addition theorems for the Appell polynomials and the associated classes of polynomial expansions, Aequationes Math 85: (3) 483-495, 2013
Tengely Sz; Varga N: On a generalization of a problem of Erdős and Graham, Publ. Math. Debrecen 84: (3-4) 475-482, 2014
Pintér Á; Tengely Sz: The Korteweg--de Vries equation and a Diophantine problem related to Bernoulli polynomials, Advances in Difference Equations 2013 (1) Paper 245, 1-9, 2013
Bazsó A: On alternating power sums of arithmetic progressions, Integral Transforms and Special Functions 24: (12) 945-949, 2013
Bazsó A; Pink I: Diophantine equations with Appell sequences, Periodica Mathematica Hungarica 69: 222-230, 2014
Huszti A; Kovács Z: Bilinear Pairing-based Hybrid Mixnet with Anonymity Revocation, in: Proceedings of ICISSP 2015, SCITEPRESS, 2015
Huszti A: Anonymous Multi-Vendor Micropayment Scheme based on Bilinear Maps, pp 27-32 in: Proceedings of the International Conference on Information Society, IEEE Press, 2014
Huszti A: Multi-Vendor PayWord with Payment Approval, pp 265-271 in: Proc 2013 Intern Conf on SAM, CSREA Press, 2013
Bérczes A; Ziegler V: On geometric progressions on Pell equations and Lucas sequences, Glasnik Matematicki 48: 1-22, 2013
Bérczes A; Dujella A; Hajdu L: The sequence of S-units, J. Number Theory 138: 48-68, 2014
Bérczes A; Pink I: On generalized Lebesgue--Ramanujan--Nagell equations, An. St. Univ. Ovidius Constanţa 22: 51-71., 2014
Bérczes A; Evertse JH; Győry K: Effective results for Diophantine equations over finitely generated domains, Acta Arithmetica 163: 71-100, 2014
Bérczes A; Ziegler V: On simultaneous palindromes, Journal of Combinatorics and Number Theory 6: no 1, 2014
Bérczes A: Effective results for unit points on curves over finitely generated domains, Math Proc Cambridge Phil Soc 158: 331–353, 2015
Bérczes A: Effective results for division points on curves in G_m^2, J Théor Nombres Bordeaux, submitted, 2015
Hirata-Kohno N; Kovács T: Computing S-integral points on elliptic curves of rank at least 3, pp 92-102 in: RIMS Kokyuroku 1898, Analytic Number Theory, Res Inst Math Sci Kyoto Univ, Kyoto, Japan, 2014
Kovács T; Rábai Zs: Equal values of pyramidal numbers, közlésre benyújtva, 2015
Hirata-Kohno N; Kovács T: S-integral points on elliptic curves via new approximation of p-adic elliptic logarithms, közlésre benyújtva, 2015
Hirata-Kohno N; Kovács T; Miyazaki T: On the Nagell--Ljunggren-equation, közlésre előkészítve, 2015
Biro A: An identity related to Wilson functions, Acta Mathematica Hungarica 144: (2) 367-406, 2014
Raz OE; Sharir M; Solymosi J: Polynomials vanishing on grids: The Elekes--Rónyai problem revisited, American Journal of Mathematics, megjelenőben, 2015
Sharir M; Solymosi J: Distinct distances from three points, Combinatorics, Probability and Computing, megjelenőben, 2015
Solymosi J: The (7, 4)-Conjecture in Finite Groups, Probability and Computing, accepted, available on CJO2015. doi:10.1017/S0963548314000856, 2015
Farkas B; Révész SzGy: The periodic decomposition problem, pp 143-170 in: Theory and Applications of Difference Equations and Discrete Dynamical Systems, Springer-Verlag, Berlin--Heidelberg, 2014
Bachoc C; Matolcsi M; Ruzsa IZ: Squares and difference sets in finite fields, Integers, Vol. 13, Article A77, 2013
Malikiosis RD; Matolcsi M; Ruzsa IZ: A note on the pyjama problem, Eur J Comb 34: (7) 1071-1077, 2013
Matolcsi M; Ruzsa IZ; Weiner M: Systems of mutually unbiased Hadamard matrices containing real and complex matrices, Australasian J. Combinatorics 55: 35-47, 2013
Matolcsi M; Ruzsa IZ: Sets with no solutions to x+y=3z, European J Combin 34: (8) 1411-1414, 2013
Keleti T; Matolcsi M; de Oliveira Filho FM; Ruzsa IZ: Better bounds for planar sets avoiding unit distances, submitted for publication, 2015
Gyarmati K: On the complexity of a family of Legendre sequences with irreducible polynomials, Finite Fields and Their Applications 33: 175-186, 2015
Gyarmati K; Mauduit C; Sárközy A: Generation of further pseudorandom binary sequences, I (Blowing up a single sequence), Uniform Distribution Theory 10: (1) 35-61, 2015
POLYMATH DHJ (Castryck W; Fouvry É; Harcos G; Kowalski E; Michel P; Nelson P; Paldi E; Pintz J; et al): Variants of the Selberg sieve, and bounded intervals containing many primes, Res. Math. Sci. 1: (12) 83 pp, 2014
POLYMATH DHJ (Castryck W; Fouvry É; Harcos G; Kowalski E; Michel P; Nelson P; Paldi E; Pintz J; et al): New equidistribution estimates of Zhang type, Algebra & Number Theory 8: 2067-2199, 2014
Harcos G: Primek, Polignac, Polymath, Mat. Lapok (N.S.) megjelenés alatt, 2015
Kaptan DA: A generalization of the Goldston--Pintz--Yildirim prime gaps result to number fields, Acta Math Hungar 141: (1-2) 84-112, 2013
Kaptan DA: Erratum to: "A generalization of the Goldston--Pintz--Yildirim prime gaps result to number fields'', Acta Math Hungar 144: (2) 530., 2014
Blomer V; Maga P: The sup-norm problem for PGL(4), Int Math Res Not, megjelenőben, 2015
Blomer V; Maga P: Subconvexity for the sup-norms of automorphic forms on PGL(n), submitted, 2015
Bollobás B; Füredi Z; Kantor I; Katona GOH; Leader I: A coding problem for pairs of subsets, pp 47-58 in: Geometry, Structure and Randomness in Combinatorics, Edizioni Della Normale, CRM Series 18, 2015
Katona GOH; Nagy DT: Incomparable copies of a poset in the Boolean lattice, Order, megjelenőben, 2015
Katona GOH; Nagy DT: Union-intersecting set sytems, Graphs and Combinatorics, megjelenőben, 2015
Bérczes A; Evertse JH; Győry K: Multiply monogenic orders, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze 12: 467-497, 2013
Bérczes A; Luca F: On the sum of digits of numerators of Bernoulli numbers, Canad Math Bull; 56: 723-728, 2013
Bérczes A; Evertse JH; Győry K: Effective results for hyper- and superelliptic equations over number fields, Publ Math Debrecen 82: 727-756, 2013
Schwartz R; Solymosi J; de Zeeuw F: Extensions of a result of Elekes and Rónyai, Journal of Combinatorial Theory - Series A 120: 1695-1713, Academic Press, 2013
Simonovits M: Paul Erdős in the 21st century, Journal of the European Mathematical Society 91: 23-29, 2014
Goldston DA; Pintz J; Yildirim CY: Small gaps between primes, pp 419-441 in: ICM Proceedings, Soeul 2014, IMU, 2014
Füredi Z; Simonovits M: The history of degenerate (bipartite extremal) problems, pp 169-264 in: Bolyai Soc Math Studies 25 J Bolyai Math Soc and Springer, Budapest and Berlin-Heidelbeg-New York, 2013
Simonovits M: Paul Turán's influence in combinatorics, pp 309-392 in: Number Theory, Analysis, and Combinatorics, Walter de Gruyter, Berlin--Boston, 2014
Szemerédi E: Is laziness paying off? ("Absorbing method"), pp 17-34 in: Colloquia de Giorgi 2010-2012, vol 4, Springer, Berlin--Heidelberg--New York, 2013
Matolcsi M; Ruzsa IZ: Difference sets and positive exponential sums I. General properties, J Fourier Anal Appl 20: (1) 17-41, 2014
K. Gyarmati, C. Mauduit, A. Sárközy: On linear complexity of binary lattices, II,, Ramanujan J. 34 (2), 237-263., 2014
K. Gyarmati, C. Mauduit, A. Sárközy: The cross-relation measure for families of binary sequences, Applications of Algebra and Number Theory (Lectures on the Occasion of Harald Niederreiter's 70th Birthday), (Eds. G. larcher et al.), Cambridge Univ. Press, pp. 126-143, 2014
Evertse JH; Győry K: Unit Equations in Diophantine Number Theory, Cambridge University Press, 2015
Bennett MA; Pintér Á: Intersections of recurrence sequences, Proc Amer Math Soc. 143, 2347-2353, 2015
He Bo; Pintér Á; Togbé A; Varga N: A generalization of a problem of Mordell, Glasnik Matematicki, 50(1) 35-41., 2015
He Bo; Pintér Á; Togbé A: On simultaneous Pell equation and related Thue equations, Proc Amer Math Soc, 143, 4685-4693., 2015
Huszti A; Kovács Z: Bilinear Pairing-based Hybrid Mixnet with Anonymity Revocation, in: Proceedings of ICISSP 2015, SCITEPRESS, pp. 238-245., 2015
Bérczes A: Effective results for division points on curves in G_m^2, J Théor Nombres Bordeaux,27, 405-437, 2015
Solymosi J: The (7, 4)-Conjecture in Finite Groups, Combinatorics, Probability and Computing 24 (04), 680-686., 2015
Keleti T; Matolcsi M; de Oliveira Filho FM; Ruzsa IZ: Better bounds for planar sets avoiding unit distances, Discrete and Computational Geometry, to appear, 2016
Blomer V; Maga P: The sup-norm problem for PGL(4), Int Math Res Not. 14, 5311-5332., 2015
Blomer V; Maga P: Subconvexity for sup-norms of cusp forms on PGL(n), Selecta Math., 2016
Bazsó, A., Mező, I.: On the coefficients of power sums of arithmetic progressions, J. Number Theory153, 117-123., 2015
Bazső, A.: Polynomial values of (alternating) power sums, Acta Math. Hungar. 146, 202-219., 2015
Bérczes, A., Pethő, A.: On the sumset of Lucas sequences, Publ.Math. Debrecen, 84, 279-290., 2014





 

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2019-04-02 15:03:56
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2014-03-31 11:24:53
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2014-02-24 13:05:11
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2013-06-10 12:09:18
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