The criteria of Riesz, Hardy-Littlewood et al. for the Riemann Hypothesis revisited using similar functions

Simple item page
dc.creatorBeltraminelli, Stefano
dc.creatorMerlini, Danilo
dc.date2006-01-07
dc.date.accessioned2026-07-07T06:58:36Z
dc.date.available2026-07-07T06:58:36Z
dc.descriptionThe original criteria of Riesz and of Hardy-Littlewood concerning the truth of the Riemann Hypothesis (RH) are revisited and further investigated in light of the recent formulations and results of Maslanka and of Baez-Duarte concerning a representation of the Riemann Zeta function. Then we introduce a general set of similar functions with the emergence of Poisson-like distributions and we present some numerical experiments which indicate that the RH may barely be true.
dc.descriptionSubmitted to: J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/math/0601138
dc.identifierhttp://arxiv.org/abs/math/0601138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107424
dc.subjectNumber Theory
dc.subjectMathematical Physics
dc.subject11M26
dc.titleThe criteria of Riesz, Hardy-Littlewood et al. for the Riemann Hypothesis revisited using similar functions
dc.typetext

Files

Collections

arXiv