On integers whose number of prime divisors belongs to a given residue class. (February 2019)

• Record Type: Journal Article
• Authors: Changa, M. E.
• Is Part Of: Izvestiya. Volume 83:Number 1(2019)
• Page Start: 173
• Page End: 183
• Publication Date: 2019-02
• Subjects: 11N25; 11N37; prime divisors -- Perron's formula; Mathematics -- Periodicals; 510.5
• DOI: 10.1070/IM8711
• Languages: English
• ISSNs: 1064-5632

Abstract

Abstract: We consider positive integers whose number of prime divisors is congruent to modulo . In this case, the calculation of prime divisors can be made either with or without taking into account the multiplicity, and the divisors themselves can be subjected to the additional requirement of belonging to some special set. We show that for, the distribution pattern of these numbers, in dependence on the value of, differs fundamentally from that in the case, which was studied earlier.