Uniform subconvexity and symmetry breaking reciprocity

2018/04/04 by Blomer, Valentin, Khan, Rizwanur
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1804.01602

Abstract

A non-symmetric reciprocity formula is established that expresses the fourth moment of automorphic L-functions of level q and primitive central character twisted by the l-th Hecke eigenvalue as a twisted mixed moment of automorphic L-functions of level l and trivial central character. As an application, uniform subconvexity bounds for L-functions in the level and the eigenvalue aspect are derived.

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