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Details of project

  
Identifier
129335
Type K
Principal investigator Ruzsa, Imre
Title in Hungarian Additív problémák
Title in English Additive problems
Keywords in Hungarian additív struktúrák, számelmélet, kombinatorika, Fourier analízis
Keywords in English additive structures, number theory, combinatorics, Fourier analysis
Discipline
Mathematics (Council of Physical Sciences)100 %
Ortelius classification: Mathematics
Panel Mathematics and Computing Science
Department or equivalent Alfréd Rényi Institute of Mathematics
Participants Hegyvári, Norbert
Keleti, Tamás
Kiss, Sándor
Matolcsi, Máté
Pach, Péter Pál
Sándor, Csaba
Starting date 2018-09-01
Closing date 2024-03-31
Funding (in million HUF) 19.690
FTE (full time equivalent) 11.44
state running project





 

Final report

  
Results in Hungarian
A kutatás során számos kutatási eredményt értünk el az additív számelmélet, additív kombinatorika és diszkrét geometria területén. A felmerülő problémákban tipikusan az a kérdés, hogy milyen összefüggés van egy halmaz additív szerkezete és számossága között. Azaz, például, elég nagy számosság (vagy mérték) garantál-e bizonyos additiv tulajdonságokat. A projekt során 71 publikáció született, a többségük rangos nemzetközi folyóiratokban. A zárójelentéshez csatolt file-ban ezekről a publikációkról adunk rövid ismertetést.
Results in English
During the project we have achieved several results in the areas of additive number theory, additive combinatorics and discrete geometry. The problems under investigation usually relate the additive structure and the size of certain sets. Namely, given a sufficiently large set (i.e. large cardinality or measure), does it imply the existence of certain additive properties. We have published 71 papers during the project, the majority of them in leading international journals. In the attached file, we give a short summary of these papers.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=129335
Decision
Yes





 

List of publications

  
Hegyvári, N., Hennecart, F., Pach, P. P.: On the density of sumsets and product sets, Australasian Journal of Combinatorics, 74 (1) 1-16., 2019
Caicedo, A. E., Chartier, T. A. C., Pach, P. P.: Coloring the n-smooth numbers with n colors, https://arxiv.org/pdf/1902.00446.pdf, preprint, 2020
Elsholtz, C., Pach, P. P: Caps and progression-free sets in Z_m^n, https://arxiv.org/pdf/1903.08266.pdf, preprint, 2020
N. Hegyvári, M. Pálfy: Note on a result of Shparlinski and related results, Acta Arith. , megjelenés alatt, 2019
Csaba Sándor, Xing-Wang Jiang, Quan-Hui Yang: On the values of additive representation functions II, https://arxiv.org/abs/1904.10352, preprint, 2020
Csaba Sándor, Sándor Z. Kiss: Generalized asymptotic Sidon Basis, https://arxiv.org/abs/1909.01714, preprint, 2020
Sándor Kiss, Csaba Sándor, Yang Quan-Hui: On minimal additive complements of integers, Journal of Combinatorial Theory Ser. A, 162, 344-353., 2019
S. Kiss, Cs. Sándor: Generalization of some results about the regularity properties of an additive representation function, Acta Mathematica Hungarica, 157, 121-140., 2019
S. Kiss, Cs. Sándor: On the structure of sets which have coinciding representation functions, INTEGERS, megjelenés alatt, 2020
S. Kiss, P. Kutas: An identification system based on the explicit isomorphism problem, https://arxiv.org/abs/1812.09130, preprint, 2020
N. Lev, M. Matolcsi: The Fuglede conjecture for convex domains is true in all dimensions, https://arxiv.org/abs/1904.12262, preprint, 2020
G. Ambrus, M. Matolcsi: On the density of planar sets without unit distances, https://arxiv.org/abs/1809.05453, preprint, 2020
An analytic approach to the cardinalities of sumsets: D. Matolcsi, I. Z. Ruzsa, G. Shakan, D., Zhelezov, preprint, 2020
Elsholtz, C., Pach, P. P: Caps and progression-free sets in Z_m^n, Designs, Codes, and Cryptography, to appear (DOI: 10.1007/s10623-020-00769-0), 2020
N. Hegyvári, M. Pálfy: Note on a result of Shparlinski and related results, ACTA ARITHMETICA 193 : 2 pp. 157-163. , 7 p. (2020), 2020
D. Matolcsi, I. Z. Ruzsa, G. Shakan, D., Zhelezov: An analytic approach to the cardinalities of sumsets, preprint, https://arxiv.org/abs/2003.04075, 2020
Máté Matolcsi, Imre Z. Ruzsa: Difference sets and positive exponential sums II: cubic residues in cyclic groups, preprint submitted for publication, 2020
Sandor Kiss, Vinh Hung Nguyen: On asymptotic basis which have distinct subset sums, preprint submitted for publication, 2020
Imre Ruzsa, József Solymosi: Sumsets of Semiconvex sets, preprint, https://arxiv.org/abs/2008.08021, 2020
Noga Alon, Imre Ruzsa, József Solymosi: On sums and products along the edges II, preprint, https://arxiv.org/abs/2007.12970, 2020
Norbert, Hegyvári: On uncertainty inequalities related to subcube partitions and additive energy, preprint, https://arxiv.org/abs/2009.10127, 2020
N. Hegyvári: Recent progress in Hilbert cubes theory, Proceedings of CANT 2020 (Springer), to appear, 2020
Hegyvári, N., Pach, P. P.: Hilbert cubes meet arithmetic sets, Journal of Number Theory, 217, 292-300., 2020
Pach, P. P., Palincza, R.: Sets avoiding six-term arithmetic progressions in Z_6^n are exponentially small, preprint, https://arxiv.org/abs/2009.11897, 2020
B, Bakos ; N, Hegyvári ; M, Pálfy ; XH, Yan: On subset sums of pseudo–recursive sequences, Discrete Mathematics Letters (4) pp. 21-36., 2020
Frank Coen, Nate Gillman, Tamás Keleti, Dylan King, Jennifer Zhu: Large Sets with Small Injective Projections, https://arxiv.org/abs/1906.06288, 2020
Xing-Wang Jiang, Csaba Sándor, Quan-Hui Yang: A note of the lower bound of representation functions, preprint, https://arxiv.org/abs/1911.01579, 2020
Sándor Z. Kiss, Csaba Sándor: Generalized Sidon sets of perfect powers, preprint, https://arxiv.org/abs/2006.02783, 2020
Caicedo, A. E., Chartier, T. A. C., Pach, P. P.: Coloring the n-smooth numbers with n colors, Electronic Journal of Combinatorics, 28 (1) (2021) Article Number P1.34, 79 pp., 2021
Elsholtz, C., Pach, P. P: Caps and progression-free sets in Z_m^n, Designs, Codes, and Cryptography, 88 (2020) 2133-2170., 2020
Csaba Sándor, Xing-Wang Jiang, Quan-Hui Yang: On the values of additive representation functions II, J. Number Theory 218 (2021), 288-301., 2021
Csaba Sándor, Sándor Z. Kiss: Generalized asymptotic Sidon Basis, Discrete Mathematics 344 (2021), no. 2, Paper No. 112208, 5 pp., 2021
S. Kiss, Cs. Sándor: On the structure of sets which have coinciding representation functions, Integers 19 (2019), Paper No. A66, 29 pp., 2019
S. Kiss, P. Kutas: An identification system based on the explicit isomorphism problem, Applicable Algebra in Engineering, Communication and Computing, közlésre elfogadva., 2021
N. Lev, M. Matolcsi: The Fuglede conjecture for convex domains is true in all dimensions, Acta Mathematica, elfogadva, 2021
G. Ambrus, M. Matolcsi: Estimates of 1-Avoiding Sets via Higher Order Correlations, Discrete Comput Geom (2020). https://doi.org/10.1007/s00454-020-00263-3, 2020
D. Matolcsi, I. Z. Ruzsa, G. Shakan, D., Zhelezov: An analytic approach to the cardinalities of sumsets, Combinatoric, elfogadva, 2021
Máté Matolcsi, Imre Z. Ruzsa: Difference sets and positive exponential sums II: cubic residues in cyclic groups, Proceedings of the Steklov Institute of Mathematics, 314(1), 138-143, 2021
Sandor Kiss, Vinh Hung Nguyen: On asymptotic basis which have distinct subset sums, Bulletin of the Australian Math. Soc., 104 (2021), no. 2, 211–217., 2021
N. Hegyvári: Recent progress in Hilbert cubes theory, In: Nathanson, Melvyn B. (szerk.) Combinatorial and Additive Number Theory IV Cham, Svájc : Springer International Publishing (2021) pp. 283-290., 2021
Frank Coen, Nate Gillman, Tamás Keleti, Dylan King, Jennifer Zhu: Large Sets with Small Injective Projections, Annales Fennici Mathematici, 46(2), 683–702., 2021
Xing-Wang Jiang, Csaba Sándor, Quan-Hui Yang: A note of the lower bound of representation functions, Int. J. Number Theory 17 (2021), 2243-2250., 2021
N. Hegyvári: On uncertainty inequality related to influence of Boolean function and additive energy, közlésre benyújtva, 2021
B.Bakos, N. Hegyvári, M. Pálfy: On a Communication Complexity problem in Combinatorial Number Theory, közlésre benyújtva, 2021
Bursics, B., Matolcsi, D., Pach, P. P., Schrettner, J.: Avoiding right angles and certain Hamming distances, https://arxiv.org/pdf/2012.08232.pdf, preprint, 2021
Lev, V. F., Nagy, J., Pach, P. P.: Sum-full sets are not zero-sum-free, Linear Algebra and its Applications 625 (2021) 241-247., 2021
Nagy, J., Pach, P. P.: The Alon-Jaeger-Tarsi conjecture via group ring identities, https://arxiv.org/pdf/2107.03956.pdf, preprint, 2021
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, https://arxiv.org/abs/2107.07995, preprint, 2021
Cs. Sandor: Additive representation functions and discrete convolutions, https://arxiv.org/abs/2009.03392, 2021
Sándor Z. Kiss, Csaba Sándor: On a problem of Chen and Fang related to infinite additive complements, Acta Arithmetica, 200(2) (2021), 213-220., 2021
Sándor Z. Kiss, Éva Hosszu, János Tapolcai, Lajos Rónyai, Ori Rottenstreich: Bloom Filter with a False Positive Free Zone, IEEE Transactions on Network and Service Management, (2021) 18 (2)., pp. 2334-2349., 2021
Sándor Z. Kiss, Csaba Sándor: Dense sumsets of Sidon sequences, kézirat, benyújtva, https://arxiv.org/abs/2103.10349, 2021
N. Lev, M. Matolcsi: The Fuglede conjecture for convex domains is true in all dimensions, Acta Mathematica 228 (2022), no. 2, 385-420., 2022
G. Ambrus, M. Matolcsi: Estimates of 1-Avoiding Sets via Higher Order Correlations, Discrete & Computational Geometry 67, 1245–1256 (2022), 2022
D. Matolcsi, I. Z. Ruzsa, G. Shakan, D., Zhelezov: An analytic approach to the cardinalities of sumsets, Combinatorica, volume 42, pages 203–236 (2022), 2022
Imre Ruzsa, József Solymosi: Sumsets of Semiconvex sets, Sumsets of semiconvex sets. Canadian Mathematical Bulletin, (2022), 65(1), 84-94., 2022
Pach, P. P., Palincza, R.: Sets avoiding six-term arithmetic progressions in Z_6^n are exponentially small, SIAM Journal on Discrete Mathematics 36 (2) (2022) 1135-1142., 2022
Sándor Z. Kiss, Csaba Sándor: Generalized Sidon sets of perfect powers, The Ramanujan Journal, 59 (2022), 351-363, 2022
N. Hegyvári: On a Boolean function defined on Number Theoretical structures, In: Csuhaj-Varjú, Erzsébet; Sziklai, Péter (eds.) Proceedings of the Conference on Developments in Computer Science, ELTE Faculty of Informatics (2021) pp. 27-30, 2021
B.Bakos, N. Hegyvári, M. Pálfy: On a Communication Complexity problem in Combinatorial Number Theory, MOSCOW JOURNAL OF COMBINATORICS AND NUMBER THEORY 10 : 4 pp. 297-302., 2022
Cs. Sandor: Additive representation functions and discrete convolutions, Acta Math. Hungar. 166 (2022), no. 2, 217-238., 2022
Sándor Z. Kiss, Csaba Sándor: Dense sumsets of Sidon sequences, European Journal of Combinatorics, 107 (2023), 103600, megjelenés alatt., 2022
K. Héra, T. Keleti, A. Máthé: A Fubini-type theorem for Hausdorff dimension, Journal d'Analyse Mathematique (megjelenés alatt), 2022
Tamás Keleti, Stephen Lacina, Changshuo Liu, Mengzhen Liu, José Ramón Tuirán Rangel: Tiling of rectangles with squares via Diophantine approximation, https://arxiv.org/abs/2201.11545 (közlésre benyújtva), 2022
Márton Elekes, Boglárka Gehér, Tamás Kátay, Tamás Keleti, Anett Kocsis, Máté Pálfy: Generic properties of topological groups, https://arxiv.org/abs/2210.03034 (közlésre benyújtva), 2022
Nagy, J., Pach, P. P.: A Counterexample to the Lights Out Problem, Journal of Graph Theory 101 (2), 265-273., 2022
Bajnok, B., Pach, P. P.: On sumsets of nonbases of maximum size, http://cs.bme.hu/~ppp/publications/On_sumsets.pdf (közlésre benyújtva), 2022
Baja, Zs., Dobák, D., Kovács, B., Pach, P. P., Pigler, D.: Towards characterizing the 2-Ramsey equations of the form ax+by=p(z), https://arxiv.org/pdf/2209.09334.pdf (közlésre benyújtva), 2022
Pach, P. P.: Bounds on the size of progression-free sets in Z_m^n, Unif. Distrib. Theory 17 (2022) no.1, 1-10., 2022
Sándor Z. Kiss, Csaba Sándor: On Bh[1]-sets which are asymptotic bases of order 2h, https://arxiv.org/abs/2202.13841, (közlésre benyújtva), 2022
Jiao, K.-J., Sándor, C., Yang, Q.-H., Zhou, J-Y.: On integer sets with the same representation functions, Bull. Aust. Math. Soc. 106 (2022), no. 2, 224-235., 2022
Kocsis, A., Matolcsi, D. Sándor, C., Tőtős, G.: Multiplicative complements I., https://arxiv.org/abs/2204.00412 (közlésre benyújtva), 2022
Fang, J.-H., Sándor, C.: On sets with sum and difference structure, https://arxiv.org/abs/2205.06553 (közlésre benyújtva), 2022
Fang, J.-H., Sándor, C.: On disjoint sets, https://arxiv.org/abs/2208.11357 (közlésre benyújtva), 2022
Fang, J.-H., Sándor, C.: Additive completition of thin sets, https://arxiv.org/abs/2209.08509 (közlésre benyújtva), 2022
Imre Z Ruzsa: Additive decomposition of signed primes, Acta Arithmetica (megjelenés alatt), 2022
M. Matolcsi, M. Weiner: A rigidity property of complete systems of mutually unbiased bases, Open Systems & Information Dynamics, Vol. 28, No. 03, 2150012 (2021), 2021
Gergely Ambrus, Adrián Csiszárik, Máté Matolcsi, Dániel Varga, Pál Zsámboki: The density of planar sets avoiding unit distances, https://arxiv.org/abs/2207.14179 (közlésre benyújtva), 2022
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi: Spectral sets and weak tiling, https://arxiv.org/abs/2209.04540 (közlésre benyújtva), 2022
S. Kiss, P. Kutas: An identification system based on the explicit isomorphism problem, Applicable Algebra in Engineering, Communication and Computing, 2021, 1-18., 2021
Bursics, B., Matolcsi, D., Pach, P. P., Schrettner, J.: Avoiding right angles and certain Hamming distances, Linear Algebra and its Applications 677 (2023) 71-87., 2023
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, to appear in Pure and Applied Functional Analysis, 2023
Sándor Z. Kiss, Csaba Sándor: Dense sumsets of Sidon sequences, European Journal of Combinatorics, 107 (2023), 103600, 2023
K. Héra, T. Keleti, A. Máthé: A Fubini-type theorem for Hausdorff dimension, JOURNAL D’ANALYSE MATHEMATIQUE, Vol. TBD (2023), DOI 10.1007/s11854-023-0302-3, 2023
Tamás Keleti, Stephen Lacina, Changshuo Liu, Mengzhen Liu, José Ramón Tuirán Rangel: Tiling of rectangles with squares via Diophantine approximation, Discrete Mathematics 346 (2023), 113442, 2023
Bajnok, B., Pach, P. P.: On sumsets of nonbases of maximum size, European Journal of Combinatorics, DOI: 10.1016/j.ejc.2023.103835, 2023
Baja, Zs., Dobák, D., Kovács, B., Pach, P. P., Pigler, D.: Towards characterizing the 2-Ramsey equations of the form ax+by=p(z), Discrete Mathematics 346 (5) (2023) 113324, 2023
Kocsis, A., Matolcsi, D. Sándor, C., Tőtős, G.: Multiplicative complements I., Acta Arith. 207 (2023), 101-120., 2023
Imre Z Ruzsa: Additive decomposition of signed primes, Acta Arithmetica DOI: 10.4064/aa220429-17-11 Published online: 26 January 2023, 2023
Gergely Ambrus, Adrián Csiszárik, Máté Matolcsi, Dániel Varga, Pál Zsámboki: The density of planar sets avoiding unit distances, Mathematical Programming, DOIhttps://doi.org/10.1007/s10107-023-02012-9, 2023
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi: Spectral sets and weak tiling, to appear, Sampling Theory, Signal Processing, and Data Analysis, 2023
Nagy, J., Pach, P. P., Tomon, I.: Additive bases, coset covers, and non-vanishing linear maps, preprint: arXiv: 2111.13658, 2023
Král, D., Lamaison, A., Pach, P. P.:: Common systems of two equations over the binary field, in: L. F. Tabera Alonso (ed.): Discrete Mathematics Days 2022, Editorial Universidad de Cantabria, 2022, 169-173., 2022
Elsholtz, C., Führer, J, Füredi, E., Kovács, B., Pach, P. P., Simon, D. G., Velich, N.: Maximal line-free sets in F_p^n, preprint: arXiv: 2310.03382, 2023
S. Z. KISS, C. SÁNDOR, & Q. YANG: On monotone increasing representation functions, Bulletin of the Australian Mathematical Society, 1-10. doi:10.1017/S0004972723000679, 2023
S. Z. Kiss, C. Sándor: Unique representations of integers by linear forms, preprint, arxiv: https://arxiv.org/abs/2303.09878, 2023
Imre Z. Ruzsa: Large Subsums of the Möbius Function, in:Number Theory in Memory of Eduard Wirsing, Springer 2023 Pages 299-305, 2023
Alex Burgin, Samuel Goldberg, Tamás Keleti, Connor MacMahon, Xianzhi Wang: Large sets avoiding infinite arithmetic / geometric progressions, to appear in Real Analysis Exchange, 2023
T. Keleti and András Máthé: Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements, preprint, arXiv:2203.15731., 2023
Balka R., Keleti T.: Lipschitz images and dimensions, preprint, arXiv:2308.02639, 2023
Kocsis A., Matolcsi D., Sándor Cs., Tőtős Gy.: Multiplicative complements II., preprint, arxiv: https://arxiv.org/abs/2305.03377, 2023
Chen S-Q., Yang Q-H, Sándor Cs.: On a problem of Nathanson related to the minimal asymptotic bases of order h, preprint, https://arxiv.org/abs/2301.11148, 2023
Bárány B., Fang J-H., Sándor Cs.: Lagrange-like spectrum of perfect additive complements, preprint, https://arxiv.org/abs/2301.04365, 2023
Fang J-H, Sándor Cs.: On function SX of additive complements, preprint, https://arxiv.org/abs/2210.09680, 2023
G. Kiss, D. Matolcsi, M. Matolcsi, G. Somlai: Tiling and weak tiling in (Z_p)^d, to appear, Sampling Theory, Signal Processing, and Data Analysis, 2023
Norbert Hegyvári: On Boolean Functions Defined on Bracket Sequences, DISCRETE MATHEMATICS LETTERS 12 : 1 pp. 45-49. , 5 p. (2023), 2023
Hegyvári, N.: Some Remarks on the Distribution of Additive Energy, Results Math 78, 233 (2023). https://doi.org/10.1007/s00025-023-02010-5, 2023
Norbert, Hegyvári: On uncertainty inequalities related to subcube partitions and additive energy, INFORMATION PROCESSING LETTERS (0020-0190 1872-6119), 2022
Nagy, J., Pach, P. P.: The Alon-Jaeger-Tarsi conjecture via group ring identities, https://arxiv.org/pdf/2107.03956.pdf, preprint, 2024
Tamás Keleti, James Cumberbatch, Jialin Zhang: Hausdorff dimension of union of lines that cover a curve, Pure and Applied Functional Analysis Volume 8, Number 6, 1651-1659, 2023., 2023
Bajnok, B., Pach, P. P.: On sumsets of nonbases of maximum size, European Journal of Combinatorics, Paper: 103835 (2024), DOI: 10.1016/j.ejc.2023.103835, 2024
Sándor Z. Kiss, Csaba Sándor: On Bh[1]-sets which are asymptotic bases of order 2h, https://arxiv.org/abs/2202.13841, (közlésre benyújtva), 2024
Fang, J.-H., Sándor, C.: On sets with sum and difference structure, https://arxiv.org/abs/2205.06553 (közlésre benyújtva), 2024
Fang, J.-H., Sándor, C.: On disjoint sets, https://arxiv.org/abs/2208.11357 (közlésre benyújtva), 2024
Fang, J.-H., Sándor, C.: Additive completion of thin sets, Bulletin of the Australian Mathematical Society, Volume 109, Issue 3, 2023
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi: Spectral sets and weak tiling, Sampling Theory, Signal Processing, and Data Analysis 21 : 2 Paper: 31 (2023), 2023
Nagy, J., Pach, P. P., Tomon, I.: Additive bases, coset covers, and non-vanishing linear maps, preprint, https://arxiv.org/abs/2111.13658, 2024
Elsholtz, C., Führer, J, Füredi, E., Kovács, B., Pach, P. P., Simon, D. G., Velich, N.: Maximal line-free sets in F_p^n, preprint: arXiv: 2310.03382, 2024
S. Z. KISS, C. SÁNDOR, & Q. YANG: On monotone increasing representation functions, Bull. Aust. Math. Soc. 109 (2024), no. 2, 196–205., 2024
S. Z. Kiss, C. Sándor: Unique representations of integers by linear forms, preprint, arxiv: https://arxiv.org/abs/2303.09878, 2024
Alex Burgin, Samuel Goldberg, Tamás Keleti, Connor MacMahon, Xianzhi Wang: Large sets avoiding infinite arithmetic / geometric progressions, Real Analysis Exchange 48 (2023), 351-364., 2023
T. Keleti and András Máthé: Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements, preprint, https://arxiv.org/abs/2203.15731, 2024
Balka R., Keleti T.: Lipschitz images and dimensions, Advances in Mathematics Volume 446, June 2024, 109669, 2024
Kocsis A., Matolcsi D., Sándor Cs., Tőtős Gy.: Multiplicative complements II., preprint, arxiv: https://arxiv.org/abs/2305.03377, 2024
Chen S-Q., Yang Q-H, Sándor Cs.: On a problem of Nathanson related to the minimal asymptotic bases of order h, C. R. Math. Acad. Sci. Paris 362 (2024), 71–76., 2024
Bárány B., Fang J-H., Sándor Cs.: Lagrange-like spectrum of perfect additive complements, Acta Arith 212 (2024), no. 3, 269--287, 2024
Fang J-H, Sándor Cs.: On function SX of additive complements, preprint, https://arxiv.org/abs/2210.09680, 2024
G. Kiss, D. Matolcsi, M. Matolcsi, G. Somlai: Tiling and weak tiling in (Z_p)^d, Sampling Theory, Signal Processing, and Data Analysis 22 : 1 Paper: 1 (2024), 2024
N. Hegyvári: On arithmetic sums of Cantor-type sequences of integers, Discrete Applied Mathematics Volume 345, 15 March 2024, Pages 1-3, 2024
M.Erdélyi, P.hegedüs, S.Z.Kiss, G.Nagy: On linear codes with random multiplier vectors and the maximum trace dimension property, Journal of Mathematical Cryptology, 2024; 18: 20230022., 2024
Shi-Qiang Chen, Csaba Sandor, Quan-Hui Yang: Representation functions in the set of natural numbers, preprint, https://arxiv.org/pdf/2312.17098, 2024
Richárd Balka, Tamas Keleti: New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions, preprint, https://arxiv.org/abs/2312.06456, 2024



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