Twelfth moment of Dirichlet L-functions to prime power moduli

Milićević, Djordje; White, Daniel

doi:10.2422/2036-2145.201909_008

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Twelfth moment of Dirichlet L-functions to prime power moduli

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Milićević, Djordje
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.2422/2036-2145.201909_008
(Publisher version)

https://doi.org/10.48550/arXiv.1908.04833
(Preprint)

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Citation

Milićević, D., & White, D. (2021). Twelfth moment of Dirichlet L-functions to prime power moduli. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 22(4), 1879-1898. doi:10.2422/2036-2145.201909_008.

Cite as: https://hdl.handle.net/21.11116/0000-0009-E029-C

Abstract

We prove the q-aspect analogue of Heath-Brown's result on the twelfth power
moment of the Riemann zeta function for Dirichlet L-functions to odd prime
power moduli. Our results rely on the p-adic method of stationary phase for
sums of products and complement Nunes' bound for smooth square-free moduli.