Further results for partitions into four squares of equal parity

Michael D. Hirschhorn; James A. Sellers

Further results for partitions into four squares of equal parity

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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 language	English (US)
Pages (from-to)	33-45
Number of pages	13
Journal	Ars Combinatoria
Volume	76
State	Published - Jul 2005
Externally published	Yes

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Further results for partitions into four squares of equal parity

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