1 citations · 1 across the 3 of their papers we have counts for
6 papers
Dense sumsets of Sidon sequences
Sándor Z. Kiss, Csaba Sándor
Let be an integer. We say a set of positive integers is an asymptotic basis of order if every large enough positive integer can be represented as the sum of t…
On a problem of Chen and Fang related to infinite additive complements
Sándor Z. Kiss, Csaba Sándor
Two infinite sets and of nonnegative integers are called additive complements if their sumset contains every nonnegative integer. In 1964, Danzer constructed infinite addit…
Generalized asymptotic Sidon basis
Sándor Z. Kiss, Csaba Sándor
Let be integers. We say a set of positive integers is an asymptotic basis of order if every large enough positive integer can be represented as the sum of t…
Multiplicative bases and an Erdős problem
Péter Pál Pach, Csaba Sándor
In this paper we investigate how small the density of a multiplicative basis of order can be in and in . Furthermore, a related problem of Erd\H…
On the maximum values of the additive representation functions
Sándor Z. Kiss, Csaba Sándor
Let and be sets of nonnegative integers. For a positive integer let denote the number of representations of as the sum of two terms from . Let $\displ…
On additive complement of a finite set
Sándor Z. Kiss, Eszter Rozgonyi, Csaba Sándor
We say the sets of nonnegative integers A and B are additive complements if their sum contains all sufficiently large integers. In this paper we prove a conjecture of Chen and Fang…