Uniform subconvexity and symmetry breaking reciprocity

Valentin Blomer, Rizwanur Khan

Research output: Contribution to journalArticle

2 Citations (Scopus)


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.

Original languageEnglish
JournalJournal of Functional Analysis
Publication statusAccepted/In press - 1 Jan 2018



  • Amplification
  • Moments of L-functions
  • Spectral reciprocity
  • Subconvexity

ASJC Scopus subject areas

  • Analysis

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