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arXiv · 1902.10046

Arithmetic Progressions of Length Three in Multiplicative Subgroups of $\mathbb{F}_p$

Jeremy F Alm
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Abstract

In this paper, we give an algorithm for detecting non-trivial 3-APs in multiplicative subgroups of $\mathbb{F}_p^\times$ that is substantially more efficient than the naive approach. It follows that certain Var der Waerden-like numbers can be computed in polynomial time.

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Jeremy F Alm. 2019-02-26. Arithmetic Progressions of Length Three in Multiplicative Subgroups of $\mathbb{F}_p$. https://arxiv.org/abs/1902.10046

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