Geodesic
A family of deformations of the Riemann xi-function
Masatoshi Suzuki1
1 Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan
Acta Arithmetica, Tome 157 (2013) no. 3, pp. 201-230.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.
DOI : 10.4064/aa157-3-1
Keywords: introduce family deformations riemann xi function endowed continuous parameters has rich analytic structure its conjectural mild zero free region fixed parameter sufficient condition riemann hypothesis riemann zeta function

Masatoshi Suzuki 1

1 Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan 
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Masatoshi Suzuki. A family of deformations of the Riemann xi-function. Acta Arithmetica, Tome 157 (2013) no. 3, pp. 201-230. doi : 10.4064/aa157-3-1. http://geodesic.mathdoc.fr/articles/10.4064/aa157-3-1/

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