On the distribution of αp modulo one for primes p of a special form

dc.creatorTodorova, T. L.
dc.creatorTolev, D. I.
dc.date2007-11-01
dc.date2007-11-07
dc.date.accessioned2026-07-07T08:40:56Z
dc.date.available2026-07-07T08:40:56Z
dc.descriptionA classical problem in analytic number theory is to study the distribution of $αp$ modulo 1, where $α$ is irrational and $p$ runs over the set of primes. We consider the subsequence generated by the primes $p$ such that $p+2$ is an almost-prime (the existence of infinitely many such $p$ is another topical result in prime number theory) and prove that its distribution has a similar property.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0711.0171
dc.identifierhttp://arxiv.org/abs/0711.0171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141523
dc.subjectNumber Theory
dc.subject11J71, 11N36
dc.titleOn the distribution of αp modulo one for primes p of a special form
dc.typetext

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