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arXiv · 2302.08465

Towards $3n-4$ in groups of prime order

Vsevolod F. Lev·Oriol Serra
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Abstract

We show that if $A$ is a subset of a group of prime order $p$ such that $|2A|<2.7652|A|$ and $|A|<1.25\cdot10^{-6}p$, then $A$ is contained in an arithmetic progression with at most $|2A|-|A|+1$ terms, and $2A$ contains an arithmetic progression with the same difference and at least $2|A|-1$ terms. This improves a number of previously known results.

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Vsevolod F. Lev, Oriol Serra. 2023-02-16. Towards $3n-4$ in groups of prime order. https://arxiv.org/abs/2302.08465

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