Powers of Euler's q-Series

Mathematics – Number Theory

Scientific paper

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17 pages; simplified sections 7 and 8

Scientific paper

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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