Location of Repository

We find general solutions to the generating-function equation sum c_q^{(X)} z^q = F(z)^X, where X is a complex number and F(z) is a convergent power series with |F(0)| >0. We then use these results to derive finite expressions containing only integers or simple fractions for partition functions and for Euler, Bernoulli, and Stirling numbers.Comment: 19 page

Topics:
Mathematics - Number Theory, 05A17 (Primary) 11Y35, 11B68 (Secondary)

Year: 2011

OAI identifier:
oai:arXiv.org:1103.1585

Provided by:
arXiv.org e-Print Archive

Download PDF:To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.