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arXiv · 2111.03834

Wide moments of $L$-functions II: Dirichlet $L$-functions

Asbjørn Christian Nordentoft
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Abstract

We study wide moments of Dirichlet $L$-functions using analytic properties of the Lerch zeta function. Among other things we obtain an asymptotic expansion of wide moments of Dirichlet $L$-functions (with arbitrary twists) extending results of Heath-Brown. We also give applications to non-vanishing.

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Asbjørn Christian Nordentoft. 2021-11-06. Wide moments of $L$-functions II: Dirichlet $L$-functions. https://arxiv.org/abs/2111.03834

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