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arXiv · 1709.01365

Convolution formula for the sums of generalized Dirichlet L-functions

Olga Balkanova·Dmitry Frolenkov
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Abstract

Using the Kuznetsov trace formula, we prove a spectral decomposition for the sums of generalized Dirichlet $L$-functions. Among applications are an explicit formula relating norms of prime geodesics to moments of symmetric square $L$-functions and an asymptotic expansion for the average of central values of generalized Dirichlet $L$-functions.

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Olga Balkanova, Dmitry Frolenkov. 2017-09-05. Convolution formula for the sums of generalized Dirichlet L-functions. https://arxiv.org/abs/1709.01365

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