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M. Merca. Fast computation of the partition function. Journal of Number Theory, 164, pp. 405-416, 2016.

Abstract: In this paper, the author provides a method to compute the values of Euler's partition function p(n) that requires only the values of p(k) with k⩽n/2. This method is combined with Ewell's recurrence relation for the partition function p(n) to obtain a simple and fast computation of the value of p(n).

Keywords: Integer partitions, Partition function, Recurrence relation

URL: http://dx.doi.org/10.1016/j.jnt.2016.01.017

Posted by Mircea Merca

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