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arXiv · 1609.05363

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.

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H. M. Bui, Alexandra Florea. 2016-09-17. Hybrid Euler-Hadamard product for quadratic Dirichlet $L$-functions in function fields. https://doi.org/10.1112/plms.12123

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