https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Explicit evaluation of Euler sums https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:14235 h(s,t) can be evaluated in terms of Riemann ζ-functions when s + t is odd. We provide a rigorous proof of Euler's discovery and then give analogous evaluations with proofs for corresponding alternating sums. Relatedly we give a formula for the series [unable to replicate formula]. This evaluation involves ζ-functions and σh(2,m).]]> Wed 11 Apr 2018 10:48:46 AEST ]]> More locatized automorphisms of the Cuntz algebras https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9668 Sat 24 Mar 2018 08:39:16 AEDT ]]> Absolute norms on vector lattices https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13142 Sat 24 Mar 2018 08:18:07 AEDT ]]> Multi-GGS groups have the congruence subgroup property https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41859 3] to the family of multi-GGS groups; that is, all multi-GGS groups except the one defined by the constant vector have the congruence subgroup property. New arguments are provided to produce this more general proof.]]> Mon 15 Aug 2022 08:46:14 AEST ]]>