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The Power of q pp 289-295 | Cite as

Partitions into Four Distinct Squares of Equal Parity

  • Michael D. HirschhornEmail author
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 49)

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.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia

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