https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Computation and experimental evaluation of Mordell-Tornheim-Witten sum derivatives https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:36036 Wed 29 Jan 2020 16:32:09 AEDT ]]> Compressed lattice sums arising from the Poisson equation https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12969 0, x, y are real numbers and Odenotes the odd integers. In this paper we first survey the earlier work and then discuss the sum (1) more completely. Conclusions: As in the previous study, we find some surprisingly simple closed-form evaluations of these sums. In particular, we find that in some cases these sums are given by 1/π logA, where A is an algebraic number. These evaluations suggest that a deep theory interconnects all such summations.]]> Wed 11 Apr 2018 09:47:17 AEST ]]> High-precision computation: mathematical physics and dynamics https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12913 Sat 24 Mar 2018 08:18:17 AEDT ]]>