Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields

H. M. Bui, Alexandra Florea

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)

Abstract

We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.
Original languageEnglish
Pages (from-to)65-99
Number of pages35
JournalProceedings of the London Mathematical Society
Volume117
Issue number1
Early online date28 Mar 2018
DOIs
Publication statusPublished - 1 Jul 2018

Keywords

  • 11M06
  • 11M26 (primary)
  • 11M50 (secondary)

Fingerprint Dive into the research topics of 'Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields'. Together they form a unique fingerprint.

  • Cite this