A twisted quadratic moment for Dirichlet 𝐿-functions

Louboutin, Stéphane

doi:10.1090/S0002-9939-2014-11721-7

A twisted quadratic moment for Dirichlet $L$-functions
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by Stéphane R. Louboutin

Proc. Amer. Math. Soc. 142 (2014), 1539-1544

DOI: https://doi.org/10.1090/S0002-9939-2014-11721-7

Published electronically: February 12, 2014

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Abstract:

Given $c$, a positive integer, we give an explicit formula for the quadratic moments \[ \sum _{\chi \in X_f^-}\chi (c)\vert L(1,\chi )\vert ^2,\] where $X_f^-$ is the set of the odd Dirichlet characters mod $f$ with $f>2$.

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