On Unordered Multiplicative Partitions

G. V. Fedorov^a^,^b^,*
Translated by I. Ruzanova

^aFaculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia

^bScientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, 117218 Russia

Correspondence to: *e-mail: fedorov@mech.math.msu.su

Received 6 July, 2018

Abstract—In this paper, we find new identities and asymptotic formulas in the problem of multiplicative partitions, which is an analogue of the multidimensional problem of Dirichlet divisors with the condition of disorder of the factors.

DOI: 10.1134/S1064562418070189