John A. Ewell, "Arithmatical consequences of two identities of B. Gordon", International Journal of Mathematics and Mathematical Sciences, vol. 2, Article ID 256393, 8 pages, 1979. https://doi.org/10.1155/S0161171279000508
Arithmatical consequences of two identities of B. Gordon
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 .
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