Recurrences for the sum of divisors
Abstract: The author presents two recursive determinations of the sum of positive divisors of a given positive integer. Each recurrence is then discussed with regard to economy of computation, and in this light is compared with the well-known recurrence of Niven and Zuckerman. As far as methods of proof are concerned, everything is accomplished within the algebra of formal power series.
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Keywords: Recurrences, sum of the positive divisors of a positive integer, identities
Article copyright: © Copyright 1977 American Mathematical Society