Une rgion explicite sans zros pour la fonction ? de Riemann

By Habiba Kadiri. 2004

52 citations recorded by the source corpus.

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

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/59eb52464caee106699622da116be5f1ca0f2831

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Harald Andrés Helfgott

In Applied Mathematics

1. Harald Andrés Helfgott

In Geometry and Topology

1. Harald Andrés Helfgott
2. P. P. Varj'u
3. Jean Bourgain
4. Emmanuel Breuillard
5. Ilya D. Shkredov
6. Alex Gamburd
7. Ben Joseph Green
8. Terence Tao

Citations in the corpus

• Major arcs for Goldbach's problem (2013, background): “He is also much indebted to O. Ramaré for his help and feedback, especially regarding §7 and Appendix B. Special thanks are also due to A. Booker, B. Green, R. HeathBrown, H. Kadiri, T. Tao and M. Watkins for discussions on Goldbach’s problem and related issues.”