Periodic twists of-Automorphic forms

Emmanuel Kowalski, Yongxiao Lin, Philippe Michel, Will Sawin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We prove that sums of length about of Hecke eigenvalues of automorphic forms on do not correlate with-periodic functions with bounded Fourier transform. This generalizes the earlier results of Munshi and Holowinsky-Nelson, corresponding to multiplicative Dirichlet characters, and applies, in particular, to trace functions of small conductor modulo primes.

Original languageEnglish (US)
Article number7
JournalForum of Mathematics, Sigma
StatePublished - 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Theoretical Computer Science
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics


  • 2010 Mathematics Subject Classification: 11F55 11M41 11L07 11T23 32N10


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