A family of deformations of the Riemann xi-function

Masatoshi Suzuki. "A family of deformations of the Riemann xi-function." Acta Arithmetica 157.3 (2013): 201-230. <http://eudml.org/doc/279685>.

@article{MasatoshiSuzuki2013,
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.},
author = {Masatoshi Suzuki},
journal = {Acta Arithmetica},
keywords = {Riemann zeta-function; Riemann hypothesis; Hermite-Biehler class; de Branges Hilbert spaces},
language = {eng},
number = {3},
pages = {201-230},
title = {A family of deformations of the Riemann xi-function},
url = {http://eudml.org/doc/279685},
volume = {157},
year = {2013},
}

TY - JOUR
AU - Masatoshi Suzuki
TI - A family of deformations of the Riemann xi-function
JO - Acta Arithmetica
PY - 2013
VL - 157
IS - 3
SP - 201
EP - 230
AB - 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.
LA - eng
KW - Riemann zeta-function; Riemann hypothesis; Hermite-Biehler class; de Branges Hilbert spaces
UR - http://eudml.org/doc/279685
ER -