Some properties of the pseudo-Smarandache function

Simple item page
dc.creatorPinch, R. G. E.
dc.date2005-04-06
dc.date.accessioned2026-07-07T05:18:51Z
dc.date.available2026-07-07T05:18:51Z
dc.descriptionWe answer a number of questions relating to the pseudo-Smarandache function Z(n). We show that the ratio of consecutive values $Z(n+1)/Z(n)$ and $Z(n-1)/Z(n)$ are unbounded; that $Z(2n)/Z(n)$ is unbounded; that $n/Z(n)$ takes every integer value infinitely often; and that the series $\sum_n 1/Z(n)^α$ is convergent for any $α> 1$.
dc.identifierhttps://arxiv.org/abs/math/0504118
dc.identifierhttp://arxiv.org/abs/math/0504118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74814
dc.subjectNumber Theory
dc.subject11A25; 11B83
dc.titleSome properties of the pseudo-Smarandache function
dc.typetext

Files

Collections

arXiv