Heiko Todt

Affiliation: Pennsylvania State University

Email: hut113@psu.edu

Title Of Talk: Asymptotic formulas for partitions into (distinct) k-th powers

Abstract: E.M. Wright proved a transformation formula for the generating function for partitions into $k$-th powers, which he then used to find an asymptotic formula for these partitions. I will give a summary of his results and also show how his transformation formula can be applied to partitions into distinct $k$-th powers as well. In addition a theorem by Meinardus can be applied to find different asymptotic formulas for these partitions, and I will show how the results relate to each other.

Last update made Sat Feb 28 09:15:39 EST 2009.
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