On the subconvexity problem for GL(3) × GL(2) L-functions

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Fix g a self-dual Hecke-Maass form for SL3(Z). Let f be a holomorphic newform of prime level q and fixed weight. Conditional on a lower bound for a short sum of squares of Fourier coefficients of f, we prove a subconvexity bound in the q aspect for L(s,g×f) at the central point.

Original languageEnglish
Pages (from-to)897-913
Number of pages17
JournalForum Mathematicum
Issue number2
Publication statusPublished - 1 Mar 2015
Externally publishedYes



  • L-functions
  • subconvexity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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