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20132022
most citedOn the maximum values of the additive representation functions

1 citations · 3 across the 6 of their papers we have counts for

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math.NT20221 cited

On sets with sum and difference structure

Jin-Hui Fang, Csaba Sándor

For nonempty sets of nonnegative integers and an integer , let be the number of representations of as and be the number of representati…

math.NT2022

Multiplicative complements I

Anett Kocsis, Dávid Matolcsi, Csaba Sándor +1

In this paper, we study how dense a multiplicative basis of order for can be, improving on earlier results. Upon introducing the notion of a \textit{multiplica…

math.NT20221 cited

On -sets which are asymptotic bases of order

Sándor Z. Kiss, Csaba Sándor

Let be integers. A set of positive integers is called asymptotic basis of order if every large enough positive integer can be written as the sum of terms fr…

math.NT2021

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…

math.NT2020

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…

math.NT2019

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…