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Product Sets of Arithmetic Progressions in Function Fields

Published 10 Sep 2023 in math.NT | (2309.05046v2)

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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