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

February 26, 2019 · Declared Dead · 🏛 arXiv.org

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Authors Jeremy F Alm arXiv ID 1902.10046 Category math.NT Cross-listed cs.DS Citations 0 Venue arXiv.org Last Checked 1 month ago
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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