Further results for partitions into four squares of equal parity

Michael D. Hirschhorn, James A. Sellers

Research output: Contribution to journalArticlepeer-review

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
Externally publishedYes

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