On a sum involving the prime counting function $π(x)$

dc.creatorIvić, Aleksandar
dc.date2003-11-27
dc.date.accessioned2026-07-07T05:03:20Z
dc.date.available2026-07-07T05:03:20Z
dc.descriptionA sharp asymptotic formula for the sum of reciprocals of $π(n)$ is derived, where $π(x)$ is the number of primes not exceeding $x$. This result improves the previous results of De Koninck--Ivić and L. Panaitopol.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0311498
dc.identifierhttp://arxiv.org/abs/math/0311498
dc.identifierUniv. Beogard. Publ. Elektrotehn. Fak. Ser. Mat. 13(2002), 85-88
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69373
dc.subjectNumber Theory
dc.subject11M26; 11M06
dc.titleOn a sum involving the prime counting function $π(x)$
dc.typetext

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