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

By Ian Petrow, M. Young. Annals of Mathematics, 2018

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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.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/63f1392cb0444b632adafd098cf0964be643d83c