Abstract

Moscow State University, Russia, 119991, Moscow, Leninskie Gory st., GSP-1, fedorov@mech.math.msu.suIn this article generalisations of numeric functions related to a number of prime divisors of a given number are investigated. Upperand 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.

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