English

On a bound of Heath-Brown for Dirichlet $L$-functions on the critical line

Number Theory 2013-09-26 v1

Abstract

Let χ\chi a primitive character(modq)\pmod q and consider the Dirichlet LL-function L(s,χ)=n=1χ(n)ns.L(s,\chi)=\sum_{n=1}^{\infty}\frac{\chi(n)}{n^s}. We give a new proof of an upper bound of Heath-Brown for L(s,χ)|L(s,\chi)| on the critical line s=1/2+its=1/2+it

Keywords

Cite

@article{arxiv.1309.6389,
  title  = {On a bound of Heath-Brown for Dirichlet $L$-functions on the critical line},
  author = {Bryce Kerr},
  journal= {arXiv preprint arXiv:1309.6389},
  year   = {2013}
}