An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions

T. S. Trudgian

An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions

Number Theory 2015-07-02 v4

Authors: T. S. Trudgian

Abstract

This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.

Keywords

zero-counting formulae Dirichlet L-functions Dedekind zeta-functions explicit upper bounds zeros

Cite

@article{arxiv.1206.1844,
  title  = {An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions},
  author = {T. S. Trudgian},
  journal= {arXiv preprint arXiv:1206.1844},
  year   = {2015}
}