• Multiplicative properties of the partition function

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0297-0303

    • Keywords

       

      Partition function; Hardy-Ramanujan formula; multiplicative independence of integers

    • Abstract

       

      A lower bound for the number of multiplicatively independent values ofp(n) forN ≤n <N + R is given. The proof depends on the Hardy-Ramanujan formula and is of an elementary nature.

    • Author Affiliations

       

      A Schinzel1 E Wirsing2

      1. Mathematics Institute PAN, P O Box 137, Warszawa - 00-950, Poland
      2. Abteilung Mathematik II, Universität Ulm, Oberer Eselsberg, Ulm - 7900, FRG
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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