## On additive and multiplicative decompositions of sets of integers composed from a given set of primes, II (Multiplicative decompositions)

### Volume 210 / 2023

Acta Arithmetica 210 (2023), 191-204
MSC: Primary 11N99; Secondary 11P70, 11P99.
DOI: 10.4064/aa220805-13-6
Published online: 19 July 2023

#### Abstract

In part I of this paper we sharpened and extended some results of Elsholtz and Harper on the *additive* decomposability of sets of integers with restricted prime factors. In this paper we will study the *multiplicative* analogs of the results proved in part I.