The sum of irreducible fractions with consecutive denominators is never an integer in a very weak arithmetic

Simple item page
dc.creatorPambuccian, Victor
dc.date2008-01-23
dc.date.accessioned2026-07-07T08:56:06Z
dc.date.available2026-07-07T08:56:06Z
dc.descriptionTwo theorems of elmentary arithmetic, one stating that the sum of the reciprocals of any number of consecutive positive integers is never an integer, and a generalization thereof by Trygve Nagell, are shown to be provable inside a very weak arithmetic, Richard Kaye's $PA^-$, in which there is no induction axiom whatsoever.
dc.identifierhttps://arxiv.org/abs/0801.3639
dc.identifierhttp://arxiv.org/abs/0801.3639
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146494
dc.subjectLogic
dc.subjectNumber Theory
dc.subject03F30; 11A99
dc.titleThe sum of irreducible fractions with consecutive denominators is never an integer in a very weak arithmetic
dc.typetext

Files

Collections

arXiv