A family of deformations of the Riemann xi-function
Masatoshi Suzuki
Acta Arithmetica, Tome 161 (2013), p. 201-230 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279685 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa157-3-1,
     author = {Masatoshi Suzuki},
     title = {A family of deformations of the Riemann xi-function},
     journal = {Acta Arithmetica},
     volume = {161},
     year = {2013},
     pages = {201-230},
     zbl = {1321.11085},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa157-3-1}
}

Masatoshi Suzuki. A family of deformations of the Riemann xi-function. Acta Arithmetica, Tome 161 (2013) pp. 201-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa157-3-1/