Powers of Euler's q-Series

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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.
17 pages; simplified sections 7 and 8

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Number Theory, 11N37 (Primary) 11F20, 11Y60, 40A25, 65B99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/122131

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701251
 http://arxiv.org/abs/math/0701251

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arXiv