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

H. M. Bui, Alexandra Florea

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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 languageEnglish
    Pages (from-to)65-99
    Number of pages35
    JournalProceedings of the London Mathematical Society
    Volume117
    Issue number1
    Early online date28 Mar 2018
    DOIs
    Publication statusPublished - Jul 2018

    Keywords

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

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