2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122131What 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 8Number Theory11N37 (Primary) 11F20, 11Y60, 40A25, 65B99 (Secondary)Powers of Euler's q-Seriestext