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Title
Japanese: 
English:A family of deformations of the Riemann xi-function 
Author
Japanese: 鈴木 正俊.  
English: Masatoshi Suzuki.  
Language English 
Journal/Book name
Japanese: 
English:Acta Arithmetica 
Volume, Number, Page Volume 157    no. 3    pp. 201-230
Published date 2013 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
Official URL https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all/157/3/83057/a-family-of-deformations-of-the-riemann-xi-function
 
DOI https://doi.org/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.

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