Anett Kocsis

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20212025

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math.NT2023

Multiplicative complements II

Anett Kocsis, Dávid Matolcsi, Csaba Sándor +1

In this paper we prove that if $A$ and $B$ are infinite subsets of positive integers such that every positive integer $n$ can be written as $n = ab$ , $a \in A$ , $b \in B$ , then $\displ…

math.NT2022

Multiplicative complements I

Anett Kocsis, Dávid Matolcsi, Csaba Sándor +1

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