On the multiplicative representation of integers

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16 Citations (Scopus)


Let a 1<a 2<··· be an infinite sequence of integers. Denote by g(n) the number of solutions of n=a i···a j. If g(n)>0 for a sequence n of positive upper density then lim sup g(n)=∞.

Original languageEnglish
Pages (from-to)251-261
Number of pages11
JournalIsrael Journal of Mathematics
Issue number4
Publication statusPublished - Dec 1 1964

ASJC Scopus subject areas

  • Mathematics(all)

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