Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.4

On Partition Functions and Divisor Sums


Neville Robbins

Mathematics Department
San Francisco State University
San Francisco, CA 94132
USA

Abstract: Let n, r be natural numbers, with r >= 2. We present convolution-type formulas for the number of partitions of n that are (1) not divisible by r; (2) coprime to r. Another result obtained is a formula for the sum of the odd divisors of n.

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Received March 21, 2002; revised version received August 20, 2002. Published in Journal of Integer Sequences August 21, 2002.

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