https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 On The Accuracy Of Asymptotic Approximations To The Log-Gamma And Riemann-Siegel Theta Functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:44432 0 from O(exp(−πt)) to O(exp(−2πt)). We discuss a similar example due to Olver [‘Error bounds for asymptotic expansions, with an application to cylinder functions of large argument’, in: Asymptotic Solutions of Differential Equations and Their Applications (ed. C. H. Wilcox) (Wiley, New York, 1964), 16–18], and a connection with the Stokes phenomenon.]]> Tue 28 Nov 2023 15:44:34 AEDT ]]> On Eulerian log-gamma integrals and Tornheim–Witten zeta functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12922 n = ∫₀¹lognΓ(x)dx for 1≤n≤4 and make some comments regarding the general case. The subsidiary computational challenges are substantial, interesting and significant in their own right]]> Sat 24 Mar 2018 08:18:13 AEDT ]]> Refined convexity and special cases of the Blaschke-Santalo inequality https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13075 p version of the classical Blaschke-Santalo inequality for polar volumes as a consequence of more subtle convexity estimates for the volume of the p -ball in Euclidean space. We also give analogs for the (p, q) -substitution norm.]]> Sat 24 Mar 2018 08:15:38 AEDT ]]> On Eulerian log-gamma integrals and Tornheim-Witten zeta functions https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:22779 Sat 24 Mar 2018 07:12:15 AEDT ]]>