Publications

Authors and title	arXiv link	Journal link
Chen S.-Q., Sándor, C., Yang, Q.-H.: Representation functions in the set of natural numbers, submitted	arxiv
Palincza, R.: The computational complexity of recognizing some number theoretic properties, submitted (2024)
Croot, E., Lev, V. F., Pach, P. P.: Past and future of the cap set problem, submitted (conference paper, International Congress of Basic Science, Beijing) (2024)	arxiv
Fleiner Zs. Gy., Juhász, M. H., Kövér, B., Pach, P. P., Sándor, Cs.: Product representation of perfect cubes, submitted	arxiv
Kim, J., Liu, H., Pach, P. P.: Optimal polynomial Schur's theorem, submitted
Nagy, J., Pach, P. P.: A sumset version of a conjecture of Pilz, submitted
Csonka, B., Simonyi, G.: Shannon capacity, Lovász theta number and the Mycielski construction, IEEE Transactions on Information Theory (2024), DOI: 10.1109/TIT.2024.3394775
Elsholtz, C., Führer, J, Füredi, E., Kovács, B., Pach, P. P., Simon, D. G., Velich, N.: Maximal line-free sets in F_p^n, Periodica Mathematica Hungarica, to appear
Kocsis, A., Matolcsi, D., Sándor, C., Tőtős, G.: Multiplicative complements II., Journal of Number Theory 265 (2024) 1-19.	arxiv
Kiss, S. Z., Sándor, C.: Unique representations of integers by linear forms, submitted	arxiv
Chen S.-Q., Sándor, C., Yang, Q.-H.: On a problem of Nathanson related to the minimal asymptotic bases of order h, Comptes Rendus Mathematique 362 (2024) 71-76.	arxiv
Bárány, B., Fang, J.-H., Sándor, C.: Lagrange-like spectrum of perfect additive complements, Acta Arithmetica 212 (2024) 269-287.	arxiv
Fang, J.-H., Sándor, C.: On function SX of additive complements, submitted	arxiv
Fang, J.-H., Sándor, C.: Additive completion of thin sets, Bulletin of the Australian Mathematical Society 108 (2024) 196-205.	arxiv
Kiss, S. Z., Sándor, Cs., Yang, Q.-H.: On monotone increasing representation functions, Bulletin of the Australian Mathematical Society 109 (2024) 196-205.	arxiv
Gujgiczer, A., Naserasr, R., S. Rohini, S. Tarini: Winding number and circular 4-coloring of signed graphs, submitted	arxiv
Nagy, J., Pach, P. P., Tomon, I.: Hyperplane covers of finite spaces and applications
Gujgiczer, A., Simonyi, G.: Critical subgraphs of Schrijver graphs for the fractional chromatic number, Graphs and Combinatorics (40) (2024) article number 64	arxiv	journal
Baja, Zs., Dobák, D., Kovács, B., Pach, P. P., Pigler, D.: Towards characterizing the 2-Ramsey equations of the form ax+by=p(z), submitted
Pach, P. P., Vizer, M.: Improved lower bounds for multiplicative square-free sequences, submitted
Bajnok, B., Pach, P. P.: On sumsets of nonbases of maximum size, submitted
Nagy, J., Pach, P. P., Tomon, I.: Additive bases, coset covers, and non-vanishing linear maps	arxiv
Palincza, R.: The computational complexity of recognizing some number theoretic properties, Conference on Developments in Computer Science (2021) 31-34.
Pach, P. P.: Bounds on the size of progression-free sets in Z_m^n, Unif. Distrib. Theory 17 (1) (2022) 1-10.		journal
Fang, J.-H., Sándor, C.: On disjoint sets, submitted	arxiv
Fang, J.-H., Sándor, C.: On B_h[1] sets with sum and difference structure, submitted	arxiv
Kocsis, A., Matolcsi, D., Sándor, C., Tőtős, G.: Multiplicative complements I., Acta Arith., 207 (2023) 101-120.	arxiv
Kiss, S. Z., Sándor, Cs.: On sets which are asymptotic basis of order 2h, submitted	arxiv
Jiao, K.-J., Sándor, C., Yang, Q.-H., Zhou, J-Y.: On integer sets with the same representation functions, Bull. Aust. Math. Soc. 106 (2) (2022) 224-235.	arxiv
Alon, N., Gujgiczer, A., Körner, J., Milojević, A., Simonyi, G.: Structured Codes of Graphs, SIDMA 37 (1) (2023) 379-403.	arxiv
Kiss, S. Z., Sándor, Cs.: Dense sumsets of Sidon sequences, European J. Combin., 107 Paper 103600. 14 p. (2023)	arxiv
Kiss, S. Z., Sándor, Cs.: On a problem of Chen and Fang related to infinite multiplicative complements, Acta Arith. 200 (2) (2021) 213-220.	arxiv
Sándor, Cs.: Additive representation functions and discrete convolutions, Acta Math. Hungar. 166 (2) (2022) 217-238.	arxiv
Nagy, J., Pach, P. P.: The Alon-Jaeger-Tarsi conjecture via group ring identities, submitted	arxiv
Nagy, J., Pach, P. P.: A Counterexample to the Lights Out Problem, Journal of Graph Theory 101 (2) (2022) 265-273.		journal
Gujgiczer, A., Simonyi, G.: On multichromatic numbers of widely colorable graphs, Journal of Graph Theory 100 (2) (2022) 346--361.	arxiv	journal
Liu, H., Pach, P. P., Sándor, Cs.: Polynomial Schur's theorem, Combinatorica, to appear	arxiv
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.	arxiv
Bursics, B., Matolcsi, D., Pach, P. P., Schrettner, J.: Avoiding right angles and certain Hamming distances, submitted	arxiv
Kiss, S. Z., Sándor, C.: Generalized Sidon sets of perfect powers, Ramanujan J., 59 (2022) 351-363.	arxiv
Jiang, X.-W., Sándor, C., Yang, Q.-H.: A note on the lower bound of representation functions, Int. J. Number Theory. 17 (2021), no 10, 2243-2250.	arxiv
Nagy, J.: The possible values of geometric genera of normal surface singularities, submitted	arxiv
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.	arxiv	journal
Liu, H., Pach, P. P., Palincza, R.: The number of maximum primitive sets of integers, Combinatorics, Probability and Computing 30 (5) 781-795.	arxiv
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) P1.34, 79 pp.	arxiv	journal
Kiss, S. Z., Sándor, C.: Generalized asymptotic Sidon-basis, Discrete Mathematics 344 (2021) 112208	arxiv
Jiang, X.-W., Sándor, C., Yang, Q.-H.: On the values of representation functions II, J. Number Theory, 218 (2021) 288-301.	arxiv	journal
Elsholtz, C., Pach, P. P.: Caps and progression-free sets in Z_m^n, Designs, Codes, and Cryptography, 88 (2020) 2133-2170.	arxiv	journal
Hegyvári, N., Pach, P. P.: Hilbert cubes meet arithmetic sets, Journal of Number Theory, 217 (2020) 292-300.		journal
Pach, P. P., Palincza, R.: The counting version of a problem of Erdős, European Journal of Combinatorics, 90 (2020) 103187	arxiv	journal