A short note on the overpartition function

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Abstract

In this brief note, we give a combinatorial proof of a variation of Gauss's q-binomial theorem, and we determine arithmetic properties of the overpartition function modulo 8.

Original languageEnglish
Pages (from-to)2528-2532
Number of pages5
JournalDiscrete Mathematics
Volume309
Issue number8
DOIs
StatePublished - 28 Apr 2009

Keywords

  • Congruence relation
  • Overpartition
  • q-binomial theorem

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