The size of wild Kloosterman sums in number fields and function fields

DOI10.1007/s11854-023-0325-9arXiv2209.02170OpenAlexW4390100314MaRDI QIDQ6183788

William F. Sawin

Publication date: 23 January 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02170

zbMATH Keywords

Kloosterman sumDirichlet \(L\)-functionsquare-root cancellation

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Relations with random matrices (11M50)

Cites Work

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• Conjectures for the integral moments and ratios of \(L\)-functions over function fields
• Upper bounds on \(n\)-dimensional Kloosterman sums
• Square-root cancellation for sums of factorization functions over short intervals in function fields
• The mean square of the product of a Dirichlet \(L\)-function and a Dirichlet polynomial
• Families of L-Functions and Their Symmetry
• Integral moments of L-functions

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