Nonvanishing of Dirichlet L-functions

Rizwanur Khan, Hieu T. Ngo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show that for at least (Formula Presented) of the primitive Dirichlet characters X of large prime modulus, the central value L (Formula Presented) does not vanish.

Original languageEnglish
Pages (from-to)2081-2091
Number of pages11
JournalAlgebra and Number Theory
Volume10
Issue number10
DOIs
Publication statusPublished - 2016

Fingerprint

Dirichlet L-function
Dirichlet Character
Vanish
Modulus

Keywords

  • Dirichlet characters
  • L-functions
  • Mollifier
  • Nonvanishing central value

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Nonvanishing of Dirichlet L-functions. / Khan, Rizwanur; Ngo, Hieu T.

In: Algebra and Number Theory, Vol. 10, No. 10, 2016, p. 2081-2091.

Research output: Contribution to journalArticle

Khan, Rizwanur ; Ngo, Hieu T. / Nonvanishing of Dirichlet L-functions. In: Algebra and Number Theory. 2016 ; Vol. 10, No. 10. pp. 2081-2091.
@article{31184b3eb94d418c8741820a9e613d2d,
title = "Nonvanishing of Dirichlet L-functions",
abstract = "We show that for at least (Formula Presented) of the primitive Dirichlet characters X of large prime modulus, the central value L (Formula Presented) does not vanish.",
keywords = "Dirichlet characters, L-functions, Mollifier, Nonvanishing central value",
author = "Rizwanur Khan and Ngo, {Hieu T.}",
year = "2016",
doi = "10.2140/ant.2016.10.2081",
language = "English",
volume = "10",
pages = "2081--2091",
journal = "Algebra and Number Theory",
issn = "1937-0652",
publisher = "Mathematical Sciences Publishers",
number = "10",

}

TY - JOUR

T1 - Nonvanishing of Dirichlet L-functions

AU - Khan, Rizwanur

AU - Ngo, Hieu T.

PY - 2016

Y1 - 2016

N2 - We show that for at least (Formula Presented) of the primitive Dirichlet characters X of large prime modulus, the central value L (Formula Presented) does not vanish.

AB - We show that for at least (Formula Presented) of the primitive Dirichlet characters X of large prime modulus, the central value L (Formula Presented) does not vanish.

KW - Dirichlet characters

KW - L-functions

KW - Mollifier

KW - Nonvanishing central value

UR - http://www.scopus.com/inward/record.url?scp=85006482252&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006482252&partnerID=8YFLogxK

U2 - 10.2140/ant.2016.10.2081

DO - 10.2140/ant.2016.10.2081

M3 - Article

AN - SCOPUS:85006482252

VL - 10

SP - 2081

EP - 2091

JO - Algebra and Number Theory

JF - Algebra and Number Theory

SN - 1937-0652

IS - 10

ER -