Square-root cancellation for sums of factorization functions over short intervals in function fields

DOI10.1215/00127094-2020-0060zbMath1506.11151arXiv1809.05137OpenAlexW3145580266MaRDI QIDQ2037850

William F. Sawin

Publication date: 8 July 2021

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05137

zbMATH Keywords

function fieldsdivisor functionshort intervalsetale cohomologymoments of \(L\)-functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (4)

The tamely ramified geometric quantitative minimal ramification problem ⋮ An induction principle for the Bombieri-Vinogradov theorem over \(\mathbb{F}_q [t\) and a variant of the Ttchmarsh divisor problem] ⋮ Bilinear forms with Kloosterman and Gauss sums in function fields ⋮ The size of wild Kloosterman sums in number fields and function fields

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