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Une region explicite sans zero pour la fonction Zeta de Riemann

Number Theory 2019-03-06 v1
Authors: Habiba Kadiri
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Abstract

The Riemann Zeta function ζ(s)\zeta(s) never vanishes in the region : ℜs≥1−15.70176log⁡∣ℑs∣(∣ℑs∣≥2). \Re s \ge 1- \frac1{5.70176 \log |\Im s|} \quad \quad (|\Im s| \ge 2).

Keywords

riemann zeta function zero-free region explicit bound analytic number theory

Cite

@article{arxiv.math/0401238,
  title  = {Une region explicite sans zero pour la fonction Zeta de Riemann},
  author = {Habiba Kadiri},
  journal= {arXiv preprint arXiv:math/0401238},
  year   = {2019}
}

Comments

32 pages

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