Document Type

Contribution to Book

Publication Date

2010

Publication Title

Contemporary Mathematics: Gems in Experimental Mathematics

DOI

10.1090/conm/517/10150

ISBN

978-0-8218-4869-2

Abstract

The derivation of the Hardy-Ramanujan-Rademacher formula for the number of partitions of n is reviewed. Next, the steps for finding analogous formulas for certain restricted classes of partitions or overpartitions is examined, bearing in mind how these calculations can be automated in a CAS. Finally, a number of new formulas of this type which were conjectured with the aid of Mathematica are presented along with results of a test for their numerical accuracy.

Comments

This is a preprint of the final published article available at Contemporary Mathematics.

Included in

Mathematics Commons

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