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Turkish Journal of Mathematics

Authors

MIRCEA MERCA

DOI

10.3906/mat-1604-124

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 $k \leq n/4$.

First Page

1184

Last Page

1190

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