Twisted moments of L-functions and spectral reciprocity

Valentin Blomer, Rizwanur Khan

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2 Citations (Scopus)

Abstract

We establish a reciprocity formula that expresses the fourth moment of automorphic L-functions of level q twisted by the ℓth Hecke eigenvalue as the fourth moment of automorphic L-functions of level ℓ twisted by the qth 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.

Original languageEnglish
Pages (from-to)1109-1177
Number of pages69
JournalDuke Mathematical Journal
Volume168
Issue number6
DOIs
Publication statusPublished - 1 Jan 2019

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ASJC Scopus subject areas

  • Mathematics(all)

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