Publications of Csaba Sándor

[1] C. Sándor, On the equation $a\sp 3+b\sp 3+c\sp 3=d\sp 3$. Period. Math. Hungar. 33 (1996), no. 2, 121--134.

[2] C. Sándor, On a problem of Erdős. J. Number Theory 63 (1997), no. 2, 203—210.

[3] P. Erdős; G. Rauzy; C. Sándor; A. Sárközy, Greedy algorithm, arithmetic progressions, subset sums and divisibility. Paul Erdős memorial collection. Discrete Math. 200        (1999), no. 1-3, 119--135.

[4] C. Sándor, Range of bounded additive representation functions. Period. Math. Hungar. 42 (2001), no. 1-2, 169--177.

[5] C. Sándor, On the number of solutions of the Diophantine equation $\sum\sp n\sb {i=1}\frac{1}{x\sb i}=1$. Period. Math. Hungar. 47 (2003), no. 1-2, 215--219.

[6] C. Sándor, A family of self-similar sets with overlaps. Indag. Math. (N.S.) 15 (2004), no. 4, 573--578.

[7] C. Sándor, Partitions of natural numbers and their representation functions. Integers 4 (2004), A18, 5 pp. (electronic).

[8] C. Sándor, On the minimal gaps between products of members of a sequence of positive density. Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 48 (2005), 3--7.

[9] C. Sándor, Non-degenerate Hilbert cubes in random sets. J. Théor. Nombres Bordeaux 19 (2007), no. 1, 249--261.

[10] C. Sándor, An upper bound for Hilbert cubes. J. Combin. Theory Ser. A 114 (2007), no. 6, 1157--1159.

[11] C. Sándor, Random $B\sb h$ sets and additive bases in $\Bbb Z\sb N$. Integers 7 (2007) A32, 10 pp. (electronic)

[12] C. Sándor, A note on a conjecture of Erdős-Turán. Integers 8 (2008), A30, 4 pp. (electronic)

[13] E. Rozgonyi, C. Sándor, A converse to an extension of a theorem of Erdős and Fuchs. J. Comb. Number Theory 5 (2013), no. 3, 151–163.
[14] S. Z. Kiss, E. Rozgonyi, C. Sándor, On additive complement of a finite set. J. Number Theory 136 (2014), 195–203.
[15] S. Z. Kiss, E. Rozgonyi, C. Sándor, Sets with almost coinciding representation functions. Bull. Aust. Math. Soc. 89 (2014), no. 1, 97–111.
[16] S. Z. Kiss, E. Rozgonyi, C. Sándor, On Sidon sets which are asymptotic bases of order 4. Funct. Approx. Comment. Math. 51 (2014), no 2, 393–413.
[17] S. Z. Kiss, E. Rozgonyi, C. Sándor, Groups, partitions and representation functions, Publicationes Math. Debrecen, 85 (2014), 425-433.
[18] S. Z. Kiss, C. Sándor, On the maximum values of the additive representation functions. Int. J. Number Theory 12 (2016), no 4, 1055–1075.
[19] S. Z. Kiss, C. Sándor, Partitions of the set of nonnegative integers with the same representation functions. Discrete Math. 340 (2017), no 6. 1154–1161.
[20] E. Rozgonyi, C. Sándor, An extension of Nathanson's theorem on representation functions, Combinatorica 37 (3) (2017) 521-537.
[21] C. Sándor, Q-H. Yang, A lower bound of Ruzsa's number related to the Erdős-Turán conjecture, Acta Arith,  180  (2017),  no. 2, 161-169.
[22] S. Z. Kiss, C. Sándor, On the multiplicativity of the linear combination of additive representation functions, Ramanujan J. 44 (2017), no. 2, 385-399.
[23] P. P. Pach, C. Sándor, Multiplicative bases and an Erdős problem, Combinatorica 38 (2018), no. 5, 1175-1203.
[24] S. Z. Kiss, C. Sándor, Q-H Yang, On generalized Stanley sequences, Acta Math. Hungar. 154 (2018), no. 2, 501-510.
[25] C. Sándor, Q-H. Yang, On some properties of representation functions related to the Erdős-Turán conjecture, European J. Combin. 71 (2018), 222-228.
[26] S. Z. Kiss, C. Sándor, Q-H Yang, On a conjecture of Erdős about sets without k pairwise coprime integers, SIAM J. Discrete Math.32 (2018), no. 4, 2453-2466.
[27] S. Z. Kiss, C. Sándor, Q-H. Yang, On the minimal additive complements of integers, J. Combin Theory Ser. A 162 (2019), 344-353.
[28] P. P. Pach, C. Sándor, On infinite muliplicative Sidon sets, European J. Combin. 76 (2019), 37-52.
[29] S. Z. Kiss, C. Sándor, Generalizations of some results about the regularity properties of an additive representation function, Acta Math. Hungar. 157 (2019), no. 1, 121-140.
[30] S. Z. Kiss, C. Sándor, On the structure of sets which has coinciding representation function, Integers, 19 (2019), A66, 29 pp. (electronic)
[31] X-W Jiang, C. Sándor, Q-H. Yang, On the values of representation functions II, J. Number Theory, 218 (2021), 288-301.
[32] S. Z. Kiss, C. Sándor, On a problem of Chen and Fang related to the infinite additive additive complement, Acta Arithm. 200 (2021), no. 2, 213-220.
[33] S. Z. Kiss, C. Sándor, Generalized asymptotic Sidon basis, Discrete Math. 344 (2021), no. 2, Paper No 2. 112208, 5 pp.
[34] X-W Jiang, C. Sándor, Q-H. Yang, A note on the lower bound of representation functions, Int. J. Naumber Theory 17 (2021),  no 10, 2243-2250.
[35] S. Z. Kiss, C. Sándor, Generalized Sidon sets of perfect powers, submitted
[36] C. Sándor, Additive representation functions and discrete convolutions, submitted
[37] H. Liu, P. P. Pach, C. Sándor, Polynomial Schur's theorem, submitted
[38] S. Z. Kiss, C. Sándor, Dense subsets of Sidon-sequences, submitted
[39] K-J. Jiao, C. Sándor, Q-H Yang, J-Y Zhou, On the integer sets with the same representation functions, submitted
[40] C. Sándor, Q-H Yang, J-Y Zhou, Note on a problem of Nathanson related to the \phi-Sidon set, submitted