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September 2020 The Weyl bound for Dirichlet $L$-functions of cube-free conductor
Ian Petrow, Matthew P. Young
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Ann. of Math. (2) 192(2): 437-486 (September 2020). DOI: 10.4007/annals.2020.192.2.3

Abstract

We prove a Weyl-exponent subconvex bound for any Dirichlet $L$-function of cube-free conductor. We also show a bound of the same strength for certain $L$-functions of self-dual $\mathrm{GL}_2$ automorphic forms that arise as twists of forms of smaller conductor.

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Ian Petrow. Matthew P. Young. "The Weyl bound for Dirichlet $L$-functions of cube-free conductor." Ann. of Math. (2) 192 (2) 437 - 486, September 2020. https://doi.org/10.4007/annals.2020.192.2.3

Information

Published: September 2020
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2020.192.2.3

Subjects:
Primary: 11M06
Secondary: 11F11 , 11F12 , 11F66

Keywords: $\ell$-adic trace functions , $L$-functions , Kuznetsov formula , moments , subconvexity

Rights: Copyright © 2020 Department of Mathematics, Princeton University

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Vol.192 • No. 2 • September 2020
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