Sur un crit\`ere de Baez-Duarte pour l'hypoth\`ese de Riemann
Number Theory
2008-12-10 v1
Abstract
Baez-Duarte reformulated the Riemann hypothesis as a statement about a Hilbert space distance, involving the integer dilations of the "fractional part" function. Under the assumption of the Riemann hypothesis, we improve on the currently known estimate for this distance.
Keywords
Cite
@article{arxiv.0812.1689,
title = {Sur un crit\`ere de Baez-Duarte pour l'hypoth\`ese de Riemann},
author = {Michel Balazard and Anne De Roton},
journal= {arXiv preprint arXiv:0812.1689},
year = {2008}
}
Comments
A para\^itre dans International Journal of Number Theory