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arXiv · 2501.15075

On moments of L-functions over Dirichlet characters

Avery Bainbridge·Rizwanur Khan·Ze Sen Tang
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Abstract

We give a new proof of Heath-Brown's full asymptotic expansion for the second moment of Dirichlet L-functions and we obtain a corresponding asymptotic expansion for a twisted first moment of Hecke-Maass L-functions.

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Avery Bainbridge, Rizwanur Khan, Ze Sen Tang. 2025-01-25. On moments of L-functions over Dirichlet characters. https://doi.org/10.4153/s0008439525101252

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