Powers of Euler's q-Series
Number Theory
2007-05-23 v2
Abstract
What are the asymptotic moments of coefficients obtained when expanding prod_{m=1}^infty (1-q^m)^k in series? A few examples are given, as well as a new multiplicative representation for coefficients when k=10 and k=14.
Keywords
Cite
@article{arxiv.math/0701251,
title = {Powers of Euler's q-Series},
author = {Steven Finch},
journal= {arXiv preprint arXiv:math/0701251},
year = {2007}
}
Comments
17 pages; simplified sections 7 and 8