Une region explicite sans zero pour la fonction Zeta de Riemann

Details Une region explicite sans zero pour la fonction Zeta de Riemann Une region explicite sans zero pour la fonction Zeta de Riemann

2004-01-19

arxiv.org/abs/math/0401238v1

Mathematics

Number Theory

32 pages

Scientific paper

The Riemann Zeta function $\zeta(s)$ never vanishes in the region : $$ \Re s
\ge 1- \frac1{5.70176 \log |\Im s|} \quad \quad (|\Im s| \ge 2). $$

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