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arXiv · 1507.03431

On the zeros of Dirichlet $L$-functions

Sami Omar·Raouf Ouni·Kamel Mazhouda
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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.

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Sami Omar, Raouf Ouni, Kamel Mazhouda. 2015-07-13. On the zeros of Dirichlet $L$-functions. https://arxiv.org/abs/1507.03431

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