Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields

H. M. Bui; Alexandra Florea

doi:10.1112/plms.12123

Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields

H. M. Bui, Alexandra Florea

University of Bristol

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Abstract

We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L-functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L-functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.

Original language	English
Pages (from-to)	65-99
Number of pages	35
Journal	Proceedings of the London Mathematical Society
Volume	117
Issue number	1
Early online date	28 Mar 2018
DOIs	https://doi.org/10.1112/plms.12123
Publication status	Published - Jul 2018

Keywords

11M06
11M26 (primary)
11M50 (secondary)

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10.1112/plms.12123

PLMS submittedAccepted author manuscript, 454 KB

Cite this

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abstract = "We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L-functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L-functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.",

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AB - We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L-functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L-functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.

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KW - 11M26 (primary)

KW - 11M50 (secondary)

UR - https://arxiv.org/pdf/1609.05363.pdf

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Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields

Abstract

Keywords

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