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M. Merca. A generalization of Euler' s pentagonal number recurrence for the partition function. The Ramanujan Journal, 37(3), p. 589–, 2015.

Abstract: In a recent paper, in order to produce the fastest algorithm for generating
integer partitions, we introduced a special case of integer partitions with restrictions. In this paper, we present new properties of these partitions. As a corollary, we obtain Euler's pentagonal number recurrence for the partition function p(n).

Keywords: Integer partition, Partition function, Inequality

URL: http://dx.doi.org/10.1007/s11139-014-9574-7

Posted by Mircea Merca

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