Energy bounds, bilinear sums and their applications in function fields

2021/12/04 by Bagshaw, Christian, Shparlinski, Igor E.
#11T06 #11T23 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2112.02257

Abstract

We obtain function field analogues of recent energy bounds on modular square roots and modular inversions and apply them to bounding some bilinear sums and to some questions regarding smooth and square-free polynomials in residue classes.

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