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This paper considers a variety of parity questions connected with classical partition identities of Euler, Rogers, Ramanujan and Gordon. We begin by restricting the partitions in the Rogers-Ramanujan-Gordon identities to those wherein even parts appear an even number of times. We then take up questions involving sequences of alternating parity in the parts of partitions. This latter study leads to:...
December 22, 2010 marks the 123th anniversary of Ramanujan’s birth. In this paper we pay homage to this towering figure whose mathematical discoveries so affected mathematics throughout the twentieth century and into the twenty-first.
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