Geodesic
A family of deformations of the Riemann xi-function
Masatoshi Suzuki1
1 Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan
Acta Arithmetica, Tome 157 (2013) no. 3, pp. 201-230

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/aa157-3-1
Keywords: introduce family deformations riemann xi function endowed continuous parameters has rich analytic structure its conjectural mild zero free region fixed parameter sufficient condition riemann hypothesis riemann zeta function

Masatoshi Suzuki 1

1 Department of Mathematics Tokyo Institute of Technology 2-12-1 Ookayama, Meguro-ku Tokyo 152-8551, Japan 
@article{10_4064_aa157_3_1,
     author = {Masatoshi Suzuki},
     title = {A family of deformations of the {Riemann} xi-function},
     journal = {Acta Arithmetica},
     pages = {201--230},
     publisher = {mathdoc},
     volume = {157},
     number = {3},
     year = {2013},
     doi = {10.4064/aa157-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa157-3-1/}
}
TY  - JOUR
AU  - Masatoshi Suzuki
TI  - A family of deformations of the Riemann xi-function
JO  - Acta Arithmetica
PY  - 2013
SP  - 201
EP  - 230
VL  - 157
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa157-3-1/
DO  - 10.4064/aa157-3-1
LA  - en
ID  - 10_4064_aa157_3_1
ER  - 
%0 Journal Article
%A Masatoshi Suzuki
%T A family of deformations of the Riemann xi-function
%J Acta Arithmetica
%D 2013
%P 201-230
%V 157
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa157-3-1/
%R 10.4064/aa157-3-1
%G en
%F 10_4064_aa157_3_1
Masatoshi Suzuki. A family of deformations of the Riemann xi-function. Acta Arithmetica, Tome 157 (2013) no. 3, pp. 201-230. doi: 10.4064/aa157-3-1

Cité par Sources :