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arXiv · 1706.01245

Twisted moments of L-functions and spectral reciprocity

Valentin Blomer·Rizwanur Khan
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Abstract

A reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q twisted by the ell-th Hecke eigenvalue as the fourth moment of automorphic L-functions of level ell twisted by the q-th Hecke eigenvalue. Direct corollaries include subconvexity bounds for L-functions in the level aspect and a short proof of an upper bound for the fifth moment of automorphic L-functions.

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Valentin Blomer, Rizwanur Khan. 2018-10-01. Twisted moments of L-functions and spectral reciprocity. https://doi.org/10.1215/00127094-2018-0060

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