New asymptotic formulas for sums over zeros of functions from the Selberg class

Kamel Mazhouda

New asymptotic formulas for sums over zeros of functions from the Selberg class

Number Theory 2019-07-11 v2

Authors: Kamel Mazhouda

Abstract

In this paper, new asymptotic formulas for sums over zeros of functions from the Selberg class are obtained. These results continue the investigations of Murty $\&$ Perelli \cite{12}, of Murty $\&$ Zaharescu \cite{13}, of Kamiya $\&$ Suzuki \cite{8}, of Steuding \cite{19} and other authors.

Keywords

Selberg class asymptotic formulas sums over zeros zeros of functions analytic number theory L-functions

Cite

@article{arxiv.1505.01544,
  title  = {New asymptotic formulas for sums over zeros of functions from the Selberg class},
  author = {Kamel Mazhouda},
  journal= {arXiv preprint arXiv:1505.01544},
  year   = {2019}
}

Comments

We make corrections to the published paper in ASMQ (2010)

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