A mean value of a triple product of L-functions

Jack Buttcane, Rizwanur Khan

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Luo has proven an optimal upper bound for the L4-norm of dihedral Maass forms of large eigenvalue, by bounding a mean value of triple product L-functions. Motivated by this result, we study a mean value of L-functions having similar shape, and obtain for it an asymptotic with power savings. Our work may be helpful in eventually obtaining an asymptotic for the L4-norm.

Original languageEnglish
Pages (from-to)565-591
Number of pages27
JournalMathematische Zeitschrift
Volume285
Issue number1-2
DOIs
Publication statusPublished - 1 Feb 2017

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Keywords

  • Automorphic forms
  • L-Functions
  • L-Norm
  • Quantum chaos

ASJC Scopus subject areas

  • Mathematics(all)

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