A family of deformations of the Riemann xi-function

• Autorzy: Masatoshi Suzuki
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions
• 11M06: ζ ( s ) and L ( s , χ )

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 157
• Numer: 3
• Strony: 201-230

Daty

wydano

2013

Twórcy

autor

Masatoshi Suzuki

• Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan

Identyfikatory

DOI

10.4064/aa157-3-1