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.
Citation
Ian Petrow. Matthew P. Young. "The Weyl bound for Dirichlet $L$-functions of cube-free conductor." Ann. of Math. (2) 192 (2) 437 - 486, September 2020. https://doi.org/10.4007/annals.2020.192.2.3
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