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arxiv: math/0701251 · v2 · submitted 2007-01-09 · 🧮 math.NT

Powers of Euler's q-Series

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keywords coefficientswhenasymptoticeulerexamplesexpandinggiveninfty
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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.

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