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.
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 214-218
- MSC: Primary 10A20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0441836-8
- MathSciNet review: 0441836