CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS-Reference-Cited by-同舟云学术

CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS

Published:2011-03 Issue:02 Volume:07 Page:371-388
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

BUI H. M.¹,MILINOVICH MICAH B.²

Affiliation:

1. Mathematical Institute, University of Oxford, Oxford, OX1 3LB, UK

2. Department of Mathematics, University of Mississippi, University, MS 38677, USA

Abstract

Let [Formula: see text] be the set of even, primitive Dirichlet characters ( mod q). Using the mollifier method, we show that L(k)(½, χ) ≠ 0 for almost all the characters [Formula: see text] when k and q are large. Here L(s, χ) is the Dirichlet L-function associated to the character χ.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042111004125

Reference15 articles.

1. Zeros of Dirichlet $L$-functions

2. Mean values with cubic characters

3. Zeros of derivatives of Riemann's ξ-function on the critical line

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