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The Weyl bound for Dirichlet $L$-functions of cube-free conductor
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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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Cited by 1 Pith paper
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Twelfth moment of Dirichlet L-functions to prime power moduli
The average twelfth power of Dirichlet L-function central values for odd prime power moduli q=p^n is at most p^A q^{2+ε}, the expected order up to q^ε.
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