https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Linear independence of values of Tschakaloff functions with different parameters https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11878 qt(z)= ∞ / ∑ / ν=0 q-tν(ν+1)/2zν and Θ(q-t,z)= ∞ / ∑ / ν=-∞ q-tν²zν at different rational points z ≠ 0 and with different positive integer parameters t, where q ∈ ℤ {0, ± 1}.]]> Wed 11 Apr 2018 15:16:43 AEST ]]> New irrationality measures for q-logarithms https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11927 q(1-z) = [formula could not be replicated], |z| ≤ 1, when p = 1/q ∈ℤ{0,±1} and z∈ℚ.]]> Wed 11 Apr 2018 10:51:29 AEST ]]> On the non-quadraticity of values of the q-exponential function and related q-series https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11917 q(z;λ)=[formula could not be replicated], |q|>1, λ ∉ qℤ>0 that includes as special cases the Tschakaloff function (λ = 0) and the q-exponential function (λ = 1). In particular, we prove the non-quadraticity of the numbers Fq/sub>(α;λ) for integral q, rational λ and α ∉ -λqℤ>0, α ≠ 0.]]> Sat 24 Mar 2018 11:09:01 AEDT ]]> Baker-type estimates for linear forms in the values of q-series https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:10330 Sat 24 Mar 2018 08:07:00 AEDT ]]>