Rudnick and Soundararajan's Theorem for Function Fields

Julio Andrade

doi:10.1016/j.ffa.2015.10.007

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arXiv · 1511.01148

Rudnick and Soundararajan's Theorem for Function Fields

Julio Andrade

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Abstract

In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet $L$-functions. We establish lower bounds for the moments of quadratic Dirichlet $L$--functions associated to hyperelliptic curves of genus $g$ over a fixed finite field $\mathbb{F}_{q}$ in the large genus $g$ limit.

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Julio Andrade. 2015-11-03. Rudnick and Soundararajan's Theorem for Function Fields. https://doi.org/10.1016/j.ffa.2015.10.007

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