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**On Partition Functions and Divisor Sums
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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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