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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 4(2), Pages 129–133 (Mi isu457)

This article is cited in 1 paper

Mathematics

On a number of prime divisors of an integer with bounded multipleness

G. V. Fjodorov

Moscow State University, Russia, 119991, Moscow, Leninskie Gory st., GSP-1

Abstract: In this article generalisations of numeric functions related to a number of prime divisors of a given number are investigated. Upper and lower limit values of a number of prime divisors of a bounded power of integer are obtained.

Key words: devisor function, Mersenne theorem, prime zeta function.

UDC: 511

DOI: 10.18500/1816-9791-2013-13-4-129-133



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