PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

A family of deformations of the Riemann xi-function

Volume 157 / 2013

Masatoshi Suzuki Acta Arithmetica 157 (2013), 201-230 MSC: Primary 11M06; Secondary 11M41. DOI: 10.4064/aa157-3-1

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.

Authors

  • Masatoshi SuzukiDepartment of Mathematics
    Tokyo Institute of Technology
    2-12-1 Ookayama, Meguro-ku
    Tokyo 152-8551, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image