The Weyl bound for Dirichlet $L$ -functions of cube-free conductor

Ian Petrow, Matthew P. Young

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Source: Crossref

Published: Sep 1, 2020

DOI: 10.4007/annals.2020.192.2.3

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Source 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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