Elementary proofs of infinitely many congruences for 8-cores

Louis W. Kolitsch, James A. Sellers

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Using a very elementary argument, we prove the congruences a8(81n + 21) ≡ 0 (mod 2) and a8(81n + 75) ≡ 0 (mod 2) where a8(n) is the number of 8-core partitions of n. We also exhibit two infinite families of congruences modulo 2 for 8-cores.

Original languageEnglish (US)
Pages (from-to)221-226
Number of pages6
JournalRamanujan Journal
Issue number2
StatePublished - 1999
Externally publishedYes


  • Congruences
  • Partitions
  • t-cores


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