On the properties of generalized harmonic and oscillatory numbers. Simple proof of the Prime Number Theorem

Simple item page
dc.creatorAbrarov, R. M.
dc.creatorAbrarov, S. M.
dc.date2007-09-20
dc.date2007-09-24
dc.date.accessioned2026-07-07T08:31:19Z
dc.date.available2026-07-07T08:31:19Z
dc.descriptionWe derived the sum identities for generalized harmonic and corresponding oscillatory numbers for which a sieve procedure can be applied. The obtained results enable us to understand better the properties of these numbers and their asymptotic behavior. On the basis of these identities a simple proof of the Prime Number Theorem is represented.
dc.description11 pages, revised version
dc.identifierhttps://arxiv.org/abs/0709.3145
dc.identifierhttp://arxiv.org/abs/0709.3145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138472
dc.subjectNumber Theory
dc.subject11N05, 11A41
dc.titleOn the properties of generalized harmonic and oscillatory numbers. Simple proof of the Prime Number Theorem
dc.typetext

Files

Collections

arXiv