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arXiv · 1602.08203

New error term for the fourth moment of automorphic L functions

Olga Balkanova·Dmitry Frolenkov
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Abstract

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.

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Olga Balkanova, Dmitry Frolenkov. 2016-02-26. New error term for the fourth moment of automorphic L functions. https://arxiv.org/abs/1602.08203

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