A family of deformations of the Riemann xi-function

Name: A family of deformations of the Riemann xi-function
Creator: Masatoshi Suzuki
Keywords: 0101 mathematics, 530, 01 natural sciences, 510

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 157, pages 201-230 (issn: 0065-1036, eissn: 1730-6264,

Authors: Masatoshi Suzuki;

doi: 10.4064/aa157-3-1

A family of deformations of the Riemann xi-function

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Abstract

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.

Related Organizations

Institute of Science Tokyo
Japan

Keywords

530, 510

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