The Wevl bound for Dirichlet L-functions of cube-free conductor


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Date

2020-09

Publication Type

Journal Article

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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 GL(2) automorphic forms that arise as twists of forms of smaller conductor.

Publication status

published

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Volume

192 (2)

Pages / Article No.

437 - 486

Publisher

Princeton University Press

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Subject

L-functions; subconvexity; moments; Kuznetsov formula; l-adic trace functions

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