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${session.getAttribute("locale")}5A q-rious positivity
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n_{m}] = ᴨ^{m}_{i=1}(1-q^{n-m+i})/(1-q^{i}), for integers 0≤m≤n, are known to be polynomials with non-negative integer coefficients. This readily follows from the q-binomial theorem, or the many combinatorial interpretations of [^{n}_{m}]. In this note we conjecture an arithmetically motivated generalisation of the non-negativity property for products of ratios of q-factorials that happen to be polynomials.]]>Mon 19 Jan 2015 19:04:45 EST]]>