https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 A q-rious positivity https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11911 nm] = ᴨmi=1(1-qn-m+i)/(1-qi), 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 [nm]. 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.]]> Wed 11 Apr 2018 13:32:39 AEST ]]> Evaluations of binomial series https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10337 Sat 24 Mar 2018 08:06:59 AEDT ]]>