Olga Balkanova, Dmitry Frolenkov
Published 2016-02-26Version 1
We improve the error term in the asymptotic formula for the twisted fourth moment of automorphic L functions of prime level and weight two proved by Kowalski, Michel and Vanderkam. As a consequence, we obtain a new subconvexity bound in the level aspect and improve the lower bound on proportion of simultaneous non-vanishing.
On the mean square of the error term for the two-dimensional divisor problem (I)
Higher moments of the error term in the divisor problem
The first moment of quadratic Dirichlet L-functions
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