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

Volume 210 / 2023

K. Győry, L. Hajdu, A. Sárközy 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.

Authors

  • K. GyőryInstitute of Mathematics
    University of Debrecen
    H-4002 Debrecen, Hungary
    e-mail
  • L. HajduInstitute of Mathematics
    University of Debrecen
    H-4002 Debrecen, Hungary
    and
    ELKH-DE Equations, Functions, Curves
    and their Applications Research Group
    Budapest, Hungary
    e-mail
  • A. SárközyInstitute of Mathematics
    Eötvös Loránd University
    H-1117 Budapest, Hungary
    e-mail

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