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

Published 6 Nov 2021 in math.NT | (2111.03834v2)

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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Authors (1)

Asbjørn Christian Nordentoft

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