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arXiv · 2309.05046

Product Sets of Arithmetic Progressions in Function Fields

Lior Bary-Soroker·Noam Goldgraber
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Abstract

We study product sets of finite arithmetic progressions of polynomials over a finite field. We prove a lower bound for the size of the product set, uniform in a wide range of parameters. We apply our results to resolve the function field variants of Erd\H{o}s' multiplication table problem.

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Lior Bary-Soroker, Noam Goldgraber. 2023-09-10. Product Sets of Arithmetic Progressions in Function Fields. https://arxiv.org/abs/2309.05046

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