Wide moments of <i>L</i>-functions II: dirichlet <i>L</i>-functions

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Quarterly Journal of Mathematics

سال: 2022

ISSN: ['0033-5606', '1464-3847']

DOI: https://doi.org/10.1093/qmath/haac026