Hybrid Euler-Hadamard Product for Dirichlet $L$-functions with Prime conductors over Function Fields

Julio Andrade; Asmaa Shamesaldeen

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arXiv · 1909.08953

Hybrid Euler-Hadamard Product for Dirichlet $L$-functions with Prime conductors over Function Fields

Julio Andrade·Asmaa Shamesaldeen

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Abstract

In this paper we extend the hybrid Euler-Hadamard product model for quadratic Dirichlet $L$-functions associated to irreducible polynomials over function fields. We also establish an asymptotic formula for the first twisted moment in this family of L-functions and then we provide further evidence for the conjectural asymptotic formulas for its moments.

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BibTeX RIS

Julio Andrade, Asmaa Shamesaldeen. 2019-09-19. Hybrid Euler-Hadamard Product for Dirichlet $L$-functions with Prime conductors over Function Fields. https://arxiv.org/abs/1909.08953

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