https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Séries hypergéométriques basiques, q-analogues des valeurs de la fonction zêta et séries d’Eisenstein https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6474 Wed 11 Apr 2018 15:34:13 AEST ]]> A q-rious positivity https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11911 n_m] = ᴨ^m_i=1(1-q^n-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 [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.]]> Wed 11 Apr 2018 13:32:39 AEST ]]> Rational approximations to a q-analogue of π and some other q-series. https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:15720 Sat 24 Mar 2018 08:25:20 AEDT ]]>