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Computing the integer partition function

Published in Mathematics of Computation • Feb 28, 2007
NobleIDNI8P93W46R25S91
Authors:
Neil J. Calkin
,
Jimena Davis
,
Kevin James

Abstract

In this paper we discuss efficient algorithms for computing the values of the partition function and implement these algorithms in order to conduct a numerical study of some conjectures related to the partition function. We present the distribution of $p(N)$ for $N \le 10^9$ for primes up to $103$ a...

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