Two congruences involving 4-cores

Michael D. Hirschhorn, James Allen Sellers

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

The goal of this paper is to prove two new congruences involving 4-cores using elementary techniques; namely, if a4(n) denotes the number of 4-cores of n, then a4(9n + 2) ≡ 0 (mod 2) and a4(9n + 8) ≡ 0 (mod 4).

Original languageEnglish (US)
Article numberR10
Pages (from-to)1-8
Number of pages8
JournalElectronic Journal of Combinatorics
Volume3
Issue number2 R
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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