#### 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.

#### Recommended Citation

Sills, Andrew.
2010.
"Towards an Automation of the Circle Method."
*Contemporary Mathematics: Gems in Experimental Mathematics*, Tewodros Amdeberhan, Luis Medina, and Victor Moll (Ed.), 517: 321-338: American Mathematical Society.
doi: 10.1090/conm/517/10150 source: http://www.math.rutgers.edu/~asills/EMDC/SillsEMDC-Rev.pdf isbn: 978-0-8218-4869-2

https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/170

## Comments

This is a preprint of the final published article available at

Contemporary Mathematics.