Further results for partitions into four squares of equal parity

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 + 60 into four odd squares (distinct or not) is even.

• Type: Journal
• Year: 2005
• Where: ARSCOM
• Authors: Michael D. Hirschhorn, James A. Sellers
• Keywords: ARSCOM 2005, Easy Consequences, Equal Parity, Various Counting Functions