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arXiv · 1610.04885

Set avoiding squares in $\mathbb{Z}_m$

Mikhail Gabdullin
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Abstract

We prove that for all squarefree $m$ and any set $A\subset\mathbb{Z}_m$ such that $A-A$ does not contain non-zero squares the bound $|A|\leq m^{1/2}(3n)^{1.5n}$ holds, where $n$ denotes the number of odd prime divisors of $m$.

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Mikhail Gabdullin. 2016-10-16. Set avoiding squares in $\mathbb{Z}_m$. https://arxiv.org/abs/1610.04885

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