vix.ing · top · new · best · stats · spec

On an arithmetical approach to the Riemann hypothesis

2009/06/23 by Hisanobu Shinya, Shinya, Hisanobu
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #advanced mathematical theories #math.GM #msc:11M26 #msc:11N37

paper · pdf · doi:10.48550/arxiv.0906.4155

This paper is withdrawn; it is not a useful approach to the Riemann Hypothesis

arxiv created 2011/09/11 · arxiv updated 2011/09/13

Abstract

In the paper, we first prove a sufficient condition for the Riemann hypothesis which involves the order of magnitude of the partial sum of the Liouville function. Then we show a formula which is curiously related to the proved sufficient condition.

Related