Selberg Sums: A New Perspective

DOI10.1007/978-3-319-28203-9_21zbMath1407.11139arXiv1411.7600OpenAlexW2249302019MaRDI QIDQ5275976

Samuel James Patterson

Publication date: 14 July 2017

Published in: From Arithmetic to Zeta-Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7600

zbMATH Keywords

Eisenstein seriesrational function fieldsmetaplectic groupsAnderson-Evans-van Wamelen theoremSelberg sums

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Other character sums and Gauss sums (11T24) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

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• Metaplectic forms
• Factorization of polynomials over finite fields
• Identities for products of Gauss sums over finite fields
• The evaluation of Selberg character sums
• Chevalley groups over function fields and automorphic forms
• THE AUTOCORRELATION OF THE MOBIUS FUNCTION AND CHOWLA'S CONJECTURE FOR THE RATIONAL FUNCTION FIELD
• Sums of L-functions over rational function fields
• Eisenstein Series for Reductive Groups over Global Function Fields I.
• Proof of the Evans-Root Conjectures for Selberg Character Sums
• Irreducible Values of Polynomials: A Non-Analogy

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