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  Twelfth moment of Dirichlet L-functions to prime power moduli

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-E029-C Version Permalink: https://hdl.handle.net/21.11116/0000-000E-0B4B-3
Genre: Journal Article

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1908.04833.pdf (Preprint), 431KB
 
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https://doi.org/10.2422/2036-2145.201909_008 (Publisher version)
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https://doi.org/10.48550/arXiv.1908.04833 (Preprint)
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 Creators:
Milićević, Djordje1, Author           
White, Daniel, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1908.04833
DOI: 10.2422/2036-2145.201909_008
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Title: Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Source Genre: Journal
 Creator(s):
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Publ. Info: Scuola Normale Superiore, Pisa
Pages: - Volume / Issue: 22 (4) Sequence Number: - Start / End Page: 1879 - 1898 Identifier: -