Open Access
September 2015 An explicit result for $|L(1+it,\chi)|$
Adrian W. Dudek
Funct. Approx. Comment. Math. 53(1): 23-29 (September 2015). DOI: 10.7169/facm/2015.53.1.2

Abstract

We give an explicit upper bound for non-principal Dirichlet $L$-functions on the line $s=1+it$. This result can be applied to improve the error in the zero-counting formulae for these functions.

Citation

Download Citation

Adrian W. Dudek. "An explicit result for $|L(1+it,\chi)|$." Funct. Approx. Comment. Math. 53 (1) 23 - 29, September 2015. https://doi.org/10.7169/facm/2015.53.1.2

Information

Published: September 2015
First available in Project Euclid: 28 September 2015

zbMATH: 06862315
MathSciNet: MR3402770
Digital Object Identifier: 10.7169/facm/2015.53.1.2

Subjects:
Primary: 11M06

Keywords: $L$-functions , Explicit bounds , Hurwitz zeta-functions

Rights: Copyright © 2015 Adam Mickiewicz University

Vol.53 • No. 1 • September 2015
Back to Top