On the zeros of Dirichlet $L$-functions

Sami Omar; Raouf Ouni; Kamel Mazhouda

On the zeros of Dirichlet $L$-functions

Number Theory 2015-07-14 v1

Authors: Sami Omar , Raouf Ouni , Kamel Mazhouda

Abstract

In this paper, we compute and verify the positivity of the Li coefficients for the Dirichlet $L$ -functions using an arithmetic formula established in Omar and Mazhouda, J. Number Theory 125 (2007) no.1, 50-58; J. Number Theory 130 (2010) no.4, 1109-1114. Furthermore, we formulate a criterion for the partial Riemann hypothesis and we provide some numerical evidence for it using new formulas for the Li coefficients.

Keywords

dirichlet characters riemann zeta function l-functions

Cite

@article{arxiv.1507.03431,
  title  = {On the zeros of Dirichlet $L$-functions},
  author = {Sami Omar and Raouf Ouni and Kamel Mazhouda},
  journal= {arXiv preprint arXiv:1507.03431},
  year   = {2015}
}

Comments

Proposition 1 page 143 is revised

On the zeros of Dirichlet $L$-functions

Abstract

Keywords

Cite

Comments

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