English

On a certain sum of the derivatives of Dirichlet $L$-functions

Number Theory 2021-06-04 v2

Abstract

We consider a sum of the derivatives of Dirichlet LL-functions over the zeros of Dirichlet LL-functions. We give an asymptotic formula for the sum.

Keywords

Cite

@article{arxiv.2003.05629,
  title  = {On a certain sum of the derivatives of Dirichlet $L$-functions},
  author = {Hirotaka Kobayashi},
  journal= {arXiv preprint arXiv:2003.05629},
  year   = {2021}
}

Comments

25 pages, Corrected some mistakes