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.