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Diofantikus számelmélet: kvalitatív, kvantitatív és numerikus vizsgálatok
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Ezen az oldalon az NKFI Elektronikus Pályázatkezelő Rendszerében nyilvánosságra hozott projektjeit tekintheti meg.
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Á. PINTÉR, Cs. Rakaczki: Indecomposability of linear combinations of Bernoulli polynomials, Publ. Math. Debrecen 100, 487-494, 2022 | Á. PINTÉR, Cs. Rakaczki: On the decomposability of the linear combinations of Euler polynomials with odd degrees, Symmetry 11, Paper No. 739, 8 pp, 2019 | A. Hajdu, L. HAJDU, R. Tijdeman,: Finding well approximating lattices for a finite set of points,, Mathematics of Computations, 88, 369-387, 2019 | A. BÉRCZES, Y Bilu, F. Luca,: Diophantine equations with products of consecutive members of binary recurrences,, Ramanujan Journal, 46, 49-75, 2018 | Y. Bugeaud, J. H. Evertse, K. GYŐRY: S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points, Acta Arith., 184, 151-185, 2018 | Cs. Bertók, K. GYŐRY, L. HAJDU, A. Schinzel: On the smallest number of terms of Vanishing sums of units in number fields, J. Number Theory, 192, 328-347, 2018 | A. Bazsó, A. BÉRCZES, L. HAJDU, F. Luca: Polynomial values of sums of products of consecutive integers, Monatsh. Math. 184, 21-34, 2018 | L. HAJDU, Á. Papp, T. Szakács: On the equation A!B!=C!, J. Number Theory, 187, 160-165, 2018 | L. HAJDU, A. Sárközy: On multiplicative decomposition of polynomial sequences, I, Acta Arith., 184, 139-150, 2018 | L. HAJDU, Á. Papp: On asymptotic density properties of the sequence (n!)_{n=0}^\infty, Acta Arith., 184, 317-340, 2018 | L. HAJDU, A. Sárközy: On multiplicative decomposition of polynomial sequences, II, Acta Arith., 186, 191-200, 2018 | Cs. Bertók, L. HAJDU: A Hasse-type principle for exponential Diophantine equations over number fields and its applications, Monatsh. Math., 187, 425-436, 2018 | A. BÉRCZES, A. Dujella, L. HAJDU, N. Saradha, R. Tijdeman: Products of factorials which are powers, Acta Arith., Közlésre elfogadva, 2019 | SZ. TENGELY: Composite rational functions and arithmetic progressions, Publ. Math. Debrecen, 92, 115-132, 2018 | SZ. TENGELY, M. Ulas: On a problem of Pethő, J. Symbolic Comp., 89, 216-226, 2018 | J.H. Evertse, K. GYŐRY, A. PETHŐ, J. Thuswaldner: Number systems over orders, Acta Math. Hungar, megjelenés alatt, 2019 | L. HAJDU, N. Varga: Polynomial values of figurate numbers, megjelenés alatt, 2019 | A. BÉRCZES, L. HAJDU, I. Pink, S.S. Rout: Sums of S-units in recurrence sequences, J. Number Theory, megjelenés alatt, 2019 | L. HAJDU, B. Harangi, A. Tiba, A. Hajdu: Detecting periodicity in digital images by the LLL algorithm, megjelenés alatt, 2019 | SZ. TENGELY: Trinomials ax^8+bx+c with Galois group of order 1344, Glasnik Matematicki 53, 265-273, 2018 | I. GAÁL, L. Remete: Integral bases and monogenity of the simplest sextic fields, Acta Arith. 183, 173-183, 2018 | I. GAÁL, B. Jadrijevic: Determining elements of minimal index in an infinite family of totally real bicyclic biquadratic number fields, J. P. Journal of Algebra, Number Theory and Applications, 39, 307-326, 2017 | I. GAÁL, L. Remete: Integral bases and monogenity of composite fields, Experimental Math., 1-14, megjelenés alatt, 2019 | G. NYUL, G. Rácz: Sums of r-Lah numbers and r-Lah polynomials, megjelenés alatt, 2019 | T. Arnóczki, G. NYUL: Minimal index of bicyclic biquadratic number fields, megjelenés alatt, 2019 | G. NYUL: A rímek kombinatorikája, Polygon 25, 63-71, 2018 | A. BÉRCZES, A. Dujella, L. HAJDU, N. Saradha, R. Tijdeman: Products of factorials which are powers, Acta Arith., 190, 339-350, 2019 | J.H. Evertse, K. GYŐRY, A. PETHŐ, J. Thuswaldner: Number systems over general orders, Acta Math. Hungar, 159, 187-205, 2019 | L. HAJDU, N. Varga: Polynomial values of figurate numbers, J. Number Theory, megjelenés alatt, 2019 | A. BÉRCZES, L. HAJDU, I. Pink, S.S. Rout: Sums of S-units in recurrence sequences, J. Number Theory, 196, 353-363, 2019 | I. GAÁL, L. Remete: Integral bases and monogenity of composite fields, Experimental Math., 28, 209-222, 2019 | J. H. Evertse, K. GYŐRY, C. L. Stewart: Mahler's work on diophantine equations and subsequent developments, Doc. Math., Extra vol. Mahler's Selecta, 149-171, 2019 | K. GYŐRY: Bounds for the solutions of S-unit equations and decomposable form equations II, Publ. Math. Debrecen, 94, 507-526, 2019 | A. Bazsó, L. HAJDU: Polynomial values of sums of hyperbolic binomial coefficients, Functiones et Approximatio (accepted), 2019 | L. HAJDU: On special extrema of polynomials with applications to Diophantine problems,, Research in Number Theory (accepted), 2019 | L. HAJDU, A. Sárközy: On multiplicative decompositions of polynomial sequences, III, Acta Arith. (accepted), 2019 | L HAJDU, R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations,, Acta Arith. (accepted), 2019 | L. HAJDU, O. Herendi: Polynomial values of surface point counting polynomials,, Int. J. Number Theory (submitted), 2019 | L. HAJDU, SZ. TENGELY: Powers in arithmetic progressions,, Ramanujan Journal (submitted), 2019 | A. BÉRCZES; L. HAJDU; R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations II, (submitted), 2019 | I. GAÁL, B. Jadrijevic, L. Remete: Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields, Int. J. Number Theory, 15, 11-27, 2019 | I. Gaál, L. Remete: Power integral bases in cubic and quartic extensions of real quadratic fields, Acta Sci. Math. Szeged, 85, 413-429, 2019 | I. GAÁL: Calculating relative power integral bases in totally complex quartic extensions of totally real fields, JP Journal of Algebra, Number Theory and Applications, 44, 129-157, 2019 | A. Bazsó, A. BÉRCZES, O. Kolouch, I. Pink, J. Sustek: Diophantine equations connected to the Komornik polynomials, Glasnik Math. (accepted), 2019 | A. BÉRCZES, T. Bérczes, I. Varga, A. Tiba, J. Zsuga: Using Laplacian spectrum to analise the comorbidities network of hemorrhagic stroke, Proc. Int. Conf. on Cognitive Infocomm. (accepted), 2019 | H. R. Gallegos-Ruiz, N. Katspis, SZ. TENGELY, M. Ulas: On the Diophantine equation (n k)=(m l)+d, J. Number Theory, 208, 418-440, 2020 | SZ. TENGELY, M. Ulas: Power values of sums of certain products of consecutive integers and related results, J. Number Theory, 197, 341-360, 2019 | H. R. Hashim, SZ. TENGELY: Diophantine equations related to reciprocals of linear recurrence sequences, Notes on Number Theory and Discrete Math., 25, 49-56, 2019 | E. Gyimesi, G. NYUL: Associated r-Dowling numbers and some relatives, submitted, 2019 | G. NYUL, G. Rácz: Matchings in complete bipartite graphs and the r-Lah numbers, submitted, 2019 | Zs. Kereskényi-Balogh, G. NYUL: Fubini numbers and polynomials of graphs, submitted, 2019 | A. Bazsó, L. HAJDU: Polynomial values of sums of hyperbolic binomial coefficients, Functiones et Approximatio, 63, 95-112, 2020 | L. HAJDU, SZ. TENGELY: Powers in arithmetic progressions,, Ramanujan Journal, accepted, 2020 | A. BÉRCZES; L. HAJDU; R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations II, Acta Arith., accepted, 2020 | A. Bazsó, A. BÉRCZES, O. Kolouch, I. PINK, J. Sustek: Diophantine equations connected to the Komornik polynomials, Glasnik Math., Ser. III. 55 (75), 13-27, 2020 | I. PINK, T. Miyazaki: Number of solutions to a special type of unit equations in two variables, American Journal of Mathematics, submitted, 2020 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers with restricted prime factors, I (smooth numbers), Indag. Math., to appear, 2020 | L. HAJDU; P. Sebestyén: Sums of S-units in the solution sets of generalized Pell equations, Archiv der Mathematik 115, 279-287, 2020 | L. HAJDU, Á. Papp: Polynomial values of products of terms from an arithmetic progression, Monath. Math., accepted, 2020 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers with restricted prime factors, II. (Smooth numbers and generalizations.), Indag. Math., submitted, 2020 | G. Hajdu, L. HAJDU: On the Liouville function on rational polynomial values, Acta Arith., submitted, 2020 | L. HAJDU, F. Luca, R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations III, J. Number Theory, submitted, 2020 | L. HAJDU, Á. Papp, R. Tijdeman: The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations, J. London Math. Soc., submitted, 2020 | I. GAÁL: Calculating "small" solutions of inhomogeneous relative Thue inequalities, submitted, 2020 | J.-H. Evertse, K. GYŐRY: Effective results and methods for Diophantine equations over finitely generated domains, Cambridge University Press, to appear, 2020 | SZ. TENGELY, M. Ulas, J. Zygadlo: On a Diophantine equation of Erdős and Graham, J. Number Theory 217, 445-459, 2020 | SZ. TENGELY, M. Ulas: On the Diophantine equation F_n=P(x), Int. J. of Number Theory 16, 2095-2111, 2020 | H. Hashim, SZ. TENGELY: Solutions of a Generalized Markoff Equation with Fibonacci Components, Math. Slovaca 70, 1069–1078, 2020 | H. Hashim, L. Szalay, SZ. TENGELY: Markoff-Rosenberger triples and generalized Lucas sequences, Period. Math. Hungar., accepted, 2020 | H. Hashim, A. Molnár, SZ. TENGELY: Cryptanalysis of ITRU, Rad HAZU, accepted, 2020 | K. Dsupin, SZ. TENGELY: Discrete logarithm problem in sandpile groups, submitted, extended abstract was accepted at the 20th Central European Conference on Cryptology, 2020 | H. Hashim, SZ. TENGELY: Lucas sequences and repdigits, submitted, 2020 | J.H. Evertse, K GYŐRY,: Discriminant Equations in Diophantine Number Theory, Cambridge University Press, 2017 | A. BÉRCZES, L. HAJDU, T. Miyazaki, I. PINK,: On the Diophantine equation 1+x^a+z^b=y^n,, Journal of Combinatorics and Number Theory, 8, 145-154,, 2016 | E. Gyimesi, G. NYUL,: New combinatorial interpretations of r-Whitney and r-Whitney-Lach numbers,, Discrete Applied Mathematics 255, 222-233, 2019 | Y. Bugeaud, J. H. Evertse, K. GYŐRY: S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points, Acta Arith., 184, 151-185, 2018 | A. PETHŐ, J. Thuswaldner: Number systems over orders, Monatshefte für Mathematik 187, 681-704, 2018 | A. PETHŐ, J. Thuswaldner, M. Weitzer: The finiteness property for shift radix systems with general parameters, Integers: Electronic Journal of Combinatorial Number Theory 19, paper 50, 2019 | A. Bazsó, A. BÉRCZES, L. HAJDU, F. Luca: Polynomial values of sums of products of consecutive integers, Monatsh. Math. 187, 21-34, 2018 | A. BÉRCZES, F. Luca, I. PINK, V. Ziegler: Trinomials with integral S-unit coefficients having a quadratic factor, Indag Math., 28, 1200-1209, 2017 | A. BÉRCZES, I. PINK, G. Savas, G. Soydan: On the Diophantine equation (x+1)^k+(x+2)^k+…+(2x)^k=y^n, J. Number Theory, 183, 326-351, 2018 | SZ. TENGELY, M. Ulas: On a problem of Pethő, J. Symbolic Comp., 89, 216-226, 2018 | E. Gyimesi, G. NYUL: A comprehensive study of r-Dowling polynomials, Aequationes Mathematicae 92, 515-527, 2018 | J.H. Evertse, K. GYŐRY, A. PETHŐ, J. Thuswaldner: Number systems over general orders, Acta Math. Hungar, 159, 187-205, 2019 | L. HAJDU, N. Varga: Polynomial values of figurate numbers, J. Number Theory 214, 79-99, 2020 | A. BÉRCZES, L. HAJDU, I. PINK, S.S. Rout: Sums of S-units in recurrence sequences, J. Number Theory, 196, 353-363, 2019 | L. HAJDU, B. Harangi, A. Tiba, A. Hajdu: Detecting periodicity in digital images by the LLL algorithm, 20th European Conference on Mathematics for Industry (ECMI), Budapest, Hungary, 279, 2018 | SZ. TENGELY: Trinomials ax^8+bx+c with Galois group of order 1344, Glasnik Matematicki 53, 265-273, 2018 | I. GAÁL, L. Remete: Integral bases and monogenity of the simplest sextic fields, Acta Arith. 183, 173-183, 2018 | I. GAÁL, B. Jadrijevic: Determining elements of minimal index in an infinite family of totally real bicyclic biquadratic number fields, J. P. Journal of Algebra, Number Theory and Applications, 39, 307-326, 2017 | I. GAÁL, L. Remete: Integral bases and monogenity of composite fields, Experimental Math., 28, 209-222, 2019 | G. NYUL, G. Rácz: Sums of r-Lah numbers and r-Lah polynomials, Ars Mathematica Contemporanea 18, 211-222, 2020 | T. Arnóczki, G. NYUL: Minimal index of bicyclic biquadratic number fields, Rocky Mountain Journal of Mathematics 50, 1-8, 2020 | G. NYUL: A rímek kombinatorikája, Polygon 25, 63-71, 2018 | J. H. Evertse, K. GYŐRY, C. L. Stewart: Mahler's work on diophantine equations and subsequent developments, Doc. Math., Extra vol. Mahler's Selecta, 149-171, 2019 | K. GYŐRY: Bounds for the solutions of S-unit equations and decomposable form equations II, Publ. Math. Debrecen, 94, 507-526, 2019 | A. Bazsó, L. HAJDU: Polynomial values of sums of hyperbolic binomial coefficients, Functiones et Approximatio, 63, 95-112, 2020 | L. HAJDU: On special extrema of polynomials with applications to Diophantine problems,, Research in Number Theory 6, Article number: 3, 2020 | L. HAJDU, A. Sárközy: On multiplicative decompositions of polynomial sequences, III, Acta Arith. 193, 193-216, 2020 | L HAJDU, R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations,, Acta Arith., 192, 105-110, 2020 | L. HAJDU, O. Herendi: Polynomial values of surface point counting polynomials,, Int. J. Number Theory 17, 15-32, 2021 | L. HAJDU, SZ. TENGELY: Powers in arithmetic progressions,, Ramanujan Journal 55, 965-986, 2021 | A. BÉRCZES; L. HAJDU; R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations II, Acta Arith. 197, 129-136, 2021 | I. GAÁL, B. Jadrijevic, L. Remete: Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields, Int. J. Number Theory, 15, 11-27, 2019 | I. Gaál, L. Remete: Power integral bases in cubic and quartic extensions of real quadratic fields, Acta Sci. Math. Szeged, 85, 413-429, 2019 | I. GAÁL: Calculating relative power integral bases in totally complex quartic extensions of totally real fields, JP Journal of Algebra, Number Theory and Applications, 44, 129-157, 2019 | A. Bazsó, A. BÉRCZES, O. Kolouch, I. PINK, J. Sustek: Diophantine equations connected to the Komornik polynomials, Glasnik Math., Ser. III. 55 (75), 13-27, 2020 | A. BÉRCZES, T. Bérczes, I. Varga, A. Tiba, J. Zsuga: Using Laplacian spectrum to analise the comorbidities network of hemorrhagic stroke, Proc. Int. Conf. on Cognitive Infocomm., 53-60, 2019 | H. R. Gallegos-Ruiz, N. Katspis, SZ. TENGELY, M. Ulas: On the Diophantine equation (n k)=(m l)+d, J. Number Theory, 208, 418-440, 2020 | SZ. TENGELY, M. Ulas: Power values of sums of certain products of consecutive integers and related results, J. Number Theory, 197, 341-360, 2019 | H. R. Hashim, SZ. TENGELY: Diophantine equations related to reciprocals of linear recurrence sequences, Notes on Number Theory and Discrete Math., 25, 49-56, 2019 | E. Gyimesi, G. NYUL: Associated r-Dowling numbers and some relatives, Comptes Rendus Mathématique 359, 47-55, 2021 | G. NYUL, G. Rácz: Matchings in complete bipartite graphs and the r-Lah numbers, Czechoslovak Mathematical Journal 71, 947-959, 2021 | Zs. Kereskényi-Balogh, G. NYUL: Fubini numbers and polynomials of graphs, Mediterranean Journal of Mathematics 18, Article 230, 2021 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers with restricted prime factors, I (smooth numbers), Indag. Math. 32, 365-374, 2021 | L. HAJDU, Á. Papp: Polynomial values of products of terms from an arithmetic progression, Monath. Math. 193, 637-655, 2020 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers with restricted prime factors, II. (Smooth numbers and generalizations.), Indag. Math. 32, 813-823, 2021 | G. Hajdu, L. HAJDU: On the Liouville function on rational polynomial values, Acta Arith. 201, 119-130, 2021 | L. HAJDU, F. Luca, R. Tijdeman: Skolem's conjecture confirmed for a family of exponential equations III, J. Number Theory 224, 41-49, 2021 | L. HAJDU, Á. Papp, R. Tijdeman: The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations, Ramanujan J. accepted, https://doi.org/10.1007/s11139-022-00555-7, 2022 | I. GAÁL: Calculating "small" solutions of inhomogeneous relative Thue inequalities, Funct. Approximatio, Comment. Math. 65, No. 2, 141-156, 2021 | J.-H. Evertse, K. GYŐRY: Effective results and methods for Diophantine equations over finitely generated domains, Cambridge University Press, 2022 | H. Hashim, L. Szalay, SZ. TENGELY: Markoff-Rosenberger triples and generalized Lucas sequences, Period. Math. Hungar, https://doi.org/10.1007/s10998-021-00430-w, 2021 | H. Hashim, A. Molnár, SZ. TENGELY: Cryptanalysis of ITRU, Rad HAZU 25(546), 181-193, 2021 | H. Hashim, SZ. TENGELY: Lucas sequences and repdigits, Math. Bohemica, doi:10.21136/MB.2021.0155-20, 2021 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers composed from a given set of primes, I (additive decompositions), Acta Arith. 202, 29-42, 2022 | M. Bhargava, J.-H. Evertse, K. GYŐRY, L. Remete, A. Swaminathan: Hermite equivalence of polynomials, arXiv: 2109.02932v2 [mathNT] Acta Arith. pp. 30, 2022 | K. GYŐRY: S-unit equations and Masser's abc conjecture in algebraic number fields, Publ. Math. Debrecen, 100, 499-511, 2022 | B. Bollobás, K. GYŐRY: Baker, Alan (1939-2018), Oxford Dict. Nat. Biogr., doi.org/10.1093/odnb/9780198614128.013.90000380408, 2022 | K. GYŐRY, L. HAJDU, A. Sárközy: On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (multiplicative decompositions), submitted, 2022 | A. Dujella, K. GYŐRY, P. Michaud-Jacobs, Á. PINTÉR: On power values of pyramidal numbers, II, Acta Arith., submitted, 2022 | I. GAÁL, B. Jadrijevic, L. Remete: Totally real Thue inequalities over imaginary quadratic fields, Glasnik Mathematicki 53, No. 2, 229-238, 2018 | I. Gaál, M.C. Pohst, M.E. Pohst: On computing integral points of a Mordell curve - the method of Wildanger revisited, Experimental Mathematik 30, No. 1, 127-134, 2021 | I. GAÁL: Diophantine equations and power integral bases, Theory and Algorithms, 2nd edition, Birkhauser, 2019 | I. GAÁL: Monogenity in totally complex sextic fields, revisited, JP Journal of Algebra, Number Theory and Applications 47, No. 1, 87-98, 2020 | I. GAÁL, B. Jadrijevic, L. Remete: Totally real Thue inequalities over imaginary quadratic fields: an improvement, Glasnik Matematicki 55, No. 2, 191-194, 2020 | I. GAÁL: Monogenity in totally real extensions of imaginary quadratic fields with an application to simplest quartic fields, submitted, 2021 | I. GAÁL: An experiment on the monogenity of a family of trinomials, JP Journal of Algebra, Number Theory and Applications 51, No. 1, 97-111, 2021 | K. N. Abédjia, B. Ho, Á. PINTÉR, A. Togbé: On the Diophantine pair {a, 3a}, J. Number Theory 227, 330-351, 2021 | L. HAJDU, P. Sebestyén: Terms of recurrence sequences in the solution sets of generalized Pell equations, Int. J. Number Theory, https://doi.org/10.1142/S1793042122500816, accepted, 2022 | L. HAJDU, N. Varga: Diophantine equations for polynomials with restricted coefficients, I (power values), Bull. Austral. Math. Soc.. https://doi.org/10.1017/S0004972722000132, accepted, 2022 | M. Ceko, L. HAJDU, R. Tijdeman: Error Correction for Discrete Tomography, Journal of Mathematical Imaging and Vision, submitted, 2022 | L. HAJDU, O: Herendi: Extrema of polynomials with real roots and Diophantine equations, J. Number Theory, submitted, 2022 | L. HAJDU, Á. Papp: Uniform bounds for the number of powers in arithmetic progressions, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, submitted, 2022 | L. HAJDU, R. Tijdeman: The Diophantine equation f(x)=g(y) for polynomials with simple rational roots, J. reine angew. Math., submitted, 2022 | SZ. TENGELY, M. Ulas: Equal values of certain partition functions via Diophantine equations, Res. Number Theory 7, No. 4, Paper No. 67, 21 pp., 2021 | SZ. TENGELY, M. Ulas: Diophantine problems related to cyclic cubic and quartic fields, Journal of Number Theory, https://doi.org/10.1016/j.jnt.2022.01.003, 2022 | J.H. Evertse, K. GYŐRY,: Effective results for discriminant equations over finitely generated integral domains,, Number Theory-Diophantine problems, uniform distribution and applications, Springer, 237-256, 2017 | S. Akiyama, J.H. Evertse and A. PETHŐ: On nearly linear recurrence sequences, Number Theory-Diophantine problems, Uniform Distribution and Applications, Springer, 1-24, 2017 | C. Fuchs, L. HAJDU,: 30 years of cooperation,, Period. Math. Hung., 74, 255-274, 2017 | Cs. Bertók, L. HAJDU, I. Pink, Zs. Rábai,: Linear combinations of prime powers in binary reccurence sequences,, International Journal of Number Theory, 13, 261-271, 2017 | Cs. Bertók, L. HAJDU, F. Luca, D. Sharma,: On the number of non-zero digits of integers in multi-base representations,, Publ. Math. Debrecen, 90, 181-194, 2017 | A. Hajdu, B. Harangi, R. Besenczi, I. Lazar, G. Emri, L. HAJDU, R. Tijdeman,: Measuring Regularity of Network Patterns by Grid Approximations using the LLL Algorithm, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 1525-1530, 2016 | A. Hajdu, H. Toman, L. Kovács, L. HAJDU,: Composing ensembles of object detectors under execution time constraint,, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 217-222, 2016 | A. Hajdu, L. HAJDU, R. Tijdeman,: Finding well approximating lattices for a finite set of points,, Mathematics of Computations, közlésre elfogadva, 2016 | Cs. Bertók, L. HAJDU, A. PETHŐ,: On the distribution of polynomials with bounded height,, J. Number Theory, 179, 172-184, 2017 | L. HAJDU, R. Tijdeman,: Consistency conditions for discrete tomography,, Fundamenta Informaticae, 155, 425-447, 2017 | A. BÉRCZES, Y Bilu, F. Luca,: Diophantine equations with products of consecutive members of binary recurrences,, Ramanujan Journal, elfogadva, 2016 | A. BÉRCZES,: Effective results for Diophantine problems over finitely generated domains,, MTA doktori disszertáció, 2017 | Y. Bugeaud, J. H. Evertse, K. GYŐRY: S-parts of values of univariate polynomials, binary forms and decomposable forms at integral points, Acta Arith., to appear, 2018 | Cs. Bertók, K. GYŐRY, L. HAJDU, A. Schinzel: On the smallest number of terms of Vanishing sums of units in number fields, J. Number Theory, to appear, 2018 | A. PETHŐ, J. Thuswaldner: Number systems over orders, submitted, 2018 | A. PETHŐ, J. Thuswaldner, M. Weitzer: Shift radix systems with general parameters, submitted, 2018 | I. GAÁL, L. Remete: Non-monogenity in a family of octic fields, Rocky Mountain J. Math. 47, 817-824, 2017 | I. GAÁL, L. Remete: Integral bases and monogenity of pure fields, J. Number Theory 173, 129-146, 2017 | A. PINTÉR, Cs. Rakaczki: On the decomposability of linear combinations of Euler polynomials, Math. Notes Miskolc, 18, 407-415, 2017 | J. Zsuga, T. Erdei, K. Szabó, N. Lampé, P. Papp, A. PINTÉR, A. J. Szentmiklósi, B. Juhász, Z. Szilvássy, R. Gesztelyi: Methodical challenges and a possible resolution in the assessment of receptor reserve for adenosine, an Agonist with short half-life, Molecules 22, Paper E839, pp. 17, 2017 | L. HAJDU, M. Szikszai, V. Ziegler: On arithmetic progressions in Lucas sequences, J. Integer Seq. 20, Article 17.8.6, 2017 | A. Bazsó, A. BÉRCZES, L. HAJDU, F. Luca: Polynomial values of sums of products of consecutive integers, Monatsh. Math. (published online, 03 November 2017), 2017 | L. HAJDU, Á. Papp, T. Szakács: On the equation A!B!=C!, J. Number Theory, to appear, 2017 | L. HAJDU, A. Sárközy: On multiplicative decomposition of polynomial sequences, I, Acta Arith., to appear, 2017 | L. HAJDU, Á. Papp: On asymptotic density properties of the sequence (n!)_{n=0}^\infty, Acta Arith., submitted, 2017 | L. HAJDU, A. Sárközy: On multiplicative decomposition of polynomial sequences, II, Acta Arith., submitted, 2017 | Cs. Bertók, L. HAJDU: A Hasse-type principle for exponential Diophantine equations over number fields and its applications, Monatsh. Math., submitted, 2017 | A. BÉRCZES, A. Dujella, L. HAJDU, N. Saradha, R. Tijdeman: Products of factorials which are powers, Acta Arith., submitted, 2017 | A. BÉRCZES, F. Luca, I. Pink, V. Ziegler: Trinomials with integral S-unit coefficients having a quadratic factor, Indag Math., 28, 1200-1209, 2017 | A. BÉRCZES, I. Pink, G. Savas, G. Soydan: On the Diophantine equation (x+1)^k+(x+2)^k+…+(2x)^k=y^n, J. Number Theory, 183, 326-351, 2018 | SZ. TENGELY: Composite rational functions and arithmetic progressions, Publ. Math. Debrecen, to appear, 2017 | SZ. TENGELY, M. Ulas: On a problem of Pethő, J. Symbolic Comp., to appear, 2017 | E. Gyimesi, G. NYUL: A comprehensive study of r-Dowling polynomials, Aequ. Math., to appear, 2017 | G. NYUL, G. Rácz: Lucas sequences and the Hosoya index of graphs, Fibonacci Quart., 55, 340-342, 2017 | G. NYUL: Diofantoszi számhalmazok, Középiskolai Mat. és Fiz. Lapok, 67, 391-395, 2017 | J.H. Evertse, K GYŐRY,: Discriminant Equations in Diophantine Number Theory, Cambridge University Press, 2016 | K.GYŐRY, L. HAJDU, R. Tijdeman: Representation of finite graphs as difference graphs of S-units, II, Acta Math. Hungar. 149, 423-447,, 2016 | K. GYŐRY: On some norm inequalities and discriminant inequalities in CM-fields, Publ. Math. Debrecen 89, 513-523, 2016 | J.H. Evertse, K. GYŐRY,: Effective results for discriminant equations over finitely generated integral domains,, Number Theory-Diophantine problems, uniform distribution and applications, megjelenés alatt, 2017 | S. Akiyama, J.H. Evertse and A. PETHŐ: On nearly linear recurrence sequences, Number Theory-Diophantine problems, Uniform Distribution and Applications-Festschrift in Honour of Robert F. Tichy's 60th Birthday(editors Christian Elsholtz and Peter G), 2017 | I. GAÁL, L. Remete and T. Szabó,: Calculating power integral bases by using relative power integral bases,, Functiones et Approximatio Comment. Math. 54, 141-149,, 2016 | I. GAÁL, and L. Remete,: Power integral bases in a family of sextic fields with quadratic subfields,, Tatra Mt. Math. Publ., 64, 59-66., 2016 | Á. PINTÉR and Cs. Rakaczki,: On the decomposability of linear combinations of Bernoulli polynomials, Monatschefte Math. 180, 631-648,, 2016 | L. Aszalós, L. HAJDU, A. PETHŐ,: On a correlational clustering of integers,, Indag. Math. 27, 173-191, 2016 | L. HAJDU, N. Saradha,: On generalizations of problems of Recaman and Pomerance,, J. Number Theory, 162, 552-563, 2016 | L. HAJDU, S. Laishram, M. Szikszai: Perfect powers in products of terms of elliptic divisibility sequences,, Bull Austral. Math. Soc. 94, 395-404,, 2016 | A. BÉRCZES, L. HAJDU, T. Miyazaki, I. Pink,: On the Diophantine equation 1+x^a+z^b=y^n,, Journal of Combinatorics and Number Theory, 8, 145-154,, 2016 | C. Fuchs, L. HAJDU,: 30 years of cooperation,, Period. Math. Hung. közlésre elfogadva, 2017 | Cs. Bertók, L. HAJDU, I. Pink, Zs. Rábai,: Linear combinations of prime powers in binary reccurence sequences,, International Journal of Number Theory, (közlésre elfogadva), 2017 | Cs. Bertók, L. HAJDU, F. Luca, D. Sharma,: On the number of non-zero digits of integers in multi-base representations,, Publ. Math. Debrecen (közlésre elfogadva), 2017 | A. Hajdu, B. Harangi, R. Besenczi, I. Lazar, G. Emri, L. HAJDU, R. Tijdeman,: Measuring Regularity of Network Patterns by Grid Approximations using the LLL Algorithm, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, közlésre elfogadva, 2016 | A. Hajdu, H. Toman, L. Kovács, L. HAJDU,: Composing ensembles of object detectors under execution time constraint,, 23rd International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, közlésre elfogadva,, 2016 | A. Hajdu, L. HAJDU, R. Tijdeman,: Finding well approximating lattices for a finite set of points,, Mathematics of Computations, közlésre benyújtva, 2016 | Cs. Bertók, L. HAJDU, A. PETHŐ,: On the distribution of polynomials with bounded height,, J. Number Theory, közlésre benyújtva, 2016 | L. HAJDU, R. Tijdeman,: Consistency conditions for discrete tomography,, Fundamenta Informaticae, közlésre benyújtva, 2016 | A. BÉRCZES, Y Bilu, F. Luca,: Diophantine equations with products of consecutive members of binary recurrences,, Ramanujan Journal, benyújtva, 2016 | A. BÉRCZES,: Effective results for Diophantine problems over finitely generated domains,, MTA doktori disszertáció, 2016 | L. HAJDU, S. Laishram and SZ. TENGELY,: Power values of sums of products of consecutive integers,, Acta. Arith. 172, 333-349,, 2016 | SZ. TENGELY, and M. Ulas,: On certain Diophantine equations of the form z^2=f(x)^2±g(y)^2,, Journal of Number Theory, 174, 239-257,, 2017 | E. Gyimesi, G. NYUL,: New combinatorial interpretations of r-Whitney and r-Whitney-Lach numbers,, submitted, 2016 |
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