Further results for partitions into four squares of equal parity

Michael D. Hirschhorn, James Allen Sellers

Research output: Contribution to journalArticle

Abstract

We prove several results dealing with various counting functions for partitions of an integer into four squares of equal parity. Some are easy consequences of earlier work, but two are new and surprising. That is, we show that the number of partitions of 72n 4- 60 into four odd squares (distinct or not) is even.

Original languageEnglish (US)
Pages (from-to)33-45
Number of pages13
JournalArs Combinatoria
Volume76
StatePublished - Jul 1 2005

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Parity
Partition
Counting Function
Odd
Distinct
Integer

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Hirschhorn, M. D., & Sellers, J. A. (2005). Further results for partitions into four squares of equal parity. Ars Combinatoria, 76, 33-45.
Hirschhorn, Michael D. ; Sellers, James Allen. / Further results for partitions into four squares of equal parity. In: Ars Combinatoria. 2005 ; Vol. 76. pp. 33-45.
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Hirschhorn, MD & Sellers, JA 2005, 'Further results for partitions into four squares of equal parity', Ars Combinatoria, vol. 76, pp. 33-45.

Further results for partitions into four squares of equal parity. / Hirschhorn, Michael D.; Sellers, James Allen.

In: Ars Combinatoria, Vol. 76, 01.07.2005, p. 33-45.

Research output: Contribution to journalArticle

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