The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

Brian Conrey, Henryk Iwaniec, Kannan Soundararajan

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)

Abstract

We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.
Original languageEnglish
Pages (from-to)147-177
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume61
Issue number2
DOIs
Publication statusE-pub ahead of print - 26 Oct 2019

Keywords

  • Dirichlet L-functions
  • asymptotic large sieve
  • moments

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