Arithmatical consequences of two identities of B. Gordon

John A. Ewell

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-8

Abstract:

From two partition identities of Basil Gordon the author derives two recursive formulas for the sum-of-divisors function. A third application yields an alternate proof of Rmanujan's theorem on the divisibility of certain values of the partition function by the modulus 5 .

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:256393

DOI: 10.1155/S0161171279000508

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