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arXiv · 1811.02452

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

Ian Petrow·Matthew P. Young
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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 $\mathrm{GL}_2$ automorphic forms that arise as twists of forms of smaller conductor.

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Ian Petrow, Matthew P. Young. 2018-11-06. The Weyl bound for Dirichlet $L$-functions of cube-free conductor. https://doi.org/10.4007/annals.2020.192.2.3

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