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Turkish Journal of Mathematics

Authors

MIRCEA MERCA

Abstract

In this paper, the author invokes some consequences of the bisectional pentagonal number theorem to derive two linear recurrence relations for Euler's partition function $p(n)$. As a corollary of these results, we obtain an efficient method to compute the parity of Euler's partition function $p(n)$ that requires only the parity of $p(k)$ with $k \leq n/4$.

DOI

10.3906/mat-1604-124

Keywords

Partition function, pentagonal number theorem, recurrence relation

First Page

1184

Last Page

1190

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Mathematics Commons

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