Zeros of GL2 L-functions on the critical line

Nickolas Andersen, Jesse Thorner

Research output: Contribution to journalArticlepeer-review

Abstract

We use Levinson's method and the work of Blomer and Harcos on the GL2 shifted convolution problem to prove that at least 6.96 % of the nontrivial zeros of the L-function of a GL2 automorphic form lie on the critical line.

Original languageEnglish (US)
Pages (from-to)477-491
Number of pages15
JournalForum Mathematicum
Volume33
Issue number2
DOIs
StatePublished - Mar 1 2021

Keywords

  • Automorphic L-function
  • Critical zeros
  • Maaß form
  • Shifted convolution sum
  • Spectral decomposition

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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