{ "id": "1109.0810", "version": "v1", "published": "2011-09-05T06:55:43.000Z", "updated": "2011-09-05T06:55:43.000Z", "title": "The validity of the analog of the Riemann hypothesis for some parts of $ζ(s)$ and the new formula for $π(x)$", "authors": [ "Jan Moser" ], "categories": [ "math.CA" ], "abstract": "An analog of the Riemann hypothesis is proved in this paper. Some new integral equations for the functions $\\pi(x)$ and $R(x)$ follows. A new effect that is shown is that these function - with essentially different behavior - are the solutions of the similar integral equations. \\noindent This paper is the English version of the paper of reference \\cite{1}.", "revisions": [ { "version": "v1", "updated": "2011-09-05T06:55:43.000Z" } ], "analyses": { "keywords": [ "riemann hypothesis", "similar integral equations", "english version" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1109.0810M" } } }