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)|
|Number of pages||13|
|State||Published - Jul 2005|