Energy bounds, bilinear sums and their applications in function fields

DOI10.1016/J.FFA.2022.102048zbMATH Open1511.11099arXiv2112.02257WikidataQ113874193 ScholiaQ113874193MaRDI QIDQ6384784

Christian Bagshaw, Igor E. Shparlinski

Publication date: 4 December 2021

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.

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23)

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