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arxiv: 1609.05363 · v1 · pith:WQLXU5X2new · submitted 2016-09-17 · 🧮 math.NT

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

classification 🧮 math.NT
keywords functionfunctionsdirichleteuler-hadamardfamilyfieldshybridmodel
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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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