Explicit Upper Bounds for |L(1, χ)| when χ(3)=0

David J. Platt*, Sumaia Saad Eddin

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

5 Citations (Scopus)

Abstract

Let chi be a primitive Dirichlet character of conductor q and denote by L(z, chi) the associated L-series. We provide an explicit upper bound for vertical bar L(1, chi)vertical bar when 3 divides q.

Original languageEnglish
Article numberMR3139413
Pages (from-to)23-34
Number of pages12
JournalColloquium mathematicum
Volume133
Issue number1
DOIs
Publication statusPublished - 14 Nov 2013

Keywords

  • Dirichlet characters
  • Dirichlet L-function
  • Gauss sums
  • VERTICAL-BAR-L(1,CHI)VERTICAL-BAR
  • CHARACTERS

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