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

Published 6 Nov 2018 in math.NT | (1811.02452v3)

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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