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Partitions into Four Distinct Squares of Equal Parity

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The Power of q

Part of the book series: Developments in Mathematics ((DEVM,volume 49))

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Abstract

A conjecture of R. Wm. Gosper concerning partitions of a number into four distinct squares of equal parity is presented and proved, and several related results are presented, including the fact that the number of partitions of a number of the form \(32n+28\) into four distinct even squares is exactly half the number of partitions of the number into four distinct odd squares.

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Correspondence to Michael D. Hirschhorn .

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Hirschhorn, M.D. (2017). Partitions into Four Distinct Squares of Equal Parity. In: The Power of q. Developments in Mathematics, vol 49. Springer, Cham. https://doi.org/10.1007/978-3-319-57762-3_31

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