http://people.mpim-bonn.mpg.de/stavros/publications/resurgencepolylogarithms.pdf WebMar 24, 2024 · Nielsen Generalized Polylogarithm. Download Wolfram Notebook. A generalization of the polylogarithm function defined by. The function reduces to the usual …

The Computation of Polylogarithms - University of Kent

WebWe remark that the present extension from polylogarithms of rational numbers to polylogarithms of algebraic numbers is analogue to the extension made in [1], where Amoroso and Viola obtain good approximation measures for logarithms of algebraic numbers by generalizing a previous method of Viola [5] for logarithms of rational numbers. Webp-ADIC POLYLOGARITHMS 3 Choose a lifting of the absolute Frobenius of (X;M) ›OK k to (X;M) which is equivalent to giving a lifting FX: X ! X of the absolute Frobenius of X ›O K k such that FX(ti) = t p i ¢(unit) for each i such that ti is not invertible. We denote by ’ the endomorphism of A induced by FX. Giving a filtered convergent F-isocrystal on (X;M) is … star citizen test my pc

Nielsen Generalized Polylogarithm -- from Wolfram MathWorld

WebApr 1, 2007 · Finally, the integral formulae for n th polylogarithms proposed in (3.6 a)–(3.6 c) are obtained from the above expansions in conjunction with theorem 3.1. D. Cvijovic Webple polylogarithms, the formal KZ equation and the Gauss hypergeometric equation. In Section 2, we consider the analytic continuation of the multiple polylogarithms of one variable to the universal covering space of P1−{0,1,∞} as an analytic function. In Section 3, we give an expression of the Gauss hypergeometric function Webwhich are obtained by an averaging process from the classical polylogarithms. Again the natural way to understand the results is in terms of algebraic K-theory, this time of the … star citizen t flight hotas 4