Results 111 to 120 of about 562 (207)

Modular frobenius manifolds and their invariant flows [PDF]

open access: yes, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan   +3 more
core   +1 more source

Some results on q-harmonic number sums

open access: yesAdvances in Difference Equations, 2018
In this paper, we establish some relations involving q-Euler type sums, q-harmonic numbers and q-polylogarithms. Then, using the relations obtained with the help of q-analog of partial fraction decomposition formula, we develop new closed form ...
Xin Si
doaj   +1 more source

Functional equations and ladders for polylogarithms [PDF]

open access: yesCommunications in Number Theory and Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Classical Polylogarithms

open access: yes, 1992
This paper is an introduction to classical polylogarithms and is an expanded version of a talk given by the author at the Motives conference. Topics covered include, monodromy; the polylogarithm local systems; Bloch's constructions of regulators using the dilogarithm; polylog locals systems as variations of mixed Hodge structre; the polylogarithm ...
openaire   +2 more sources

Series approximations of the polylogarithm with applications to Euler sums and certain integrals

open access: yes
A series approximation of the polylogarithm based on values of the Riemann zeta function is proposed, and truncation of this series yields finite approximations of the polylogarithm. Both the series representation and its truncated versions of the series
Michael Weba
core   +1 more source

Multiple Argument Euler Sum Identities

open access: yesMathematics
We develop a number of new identities for linear Euler harmonic number sums with multiple argument. Some new examples of even weight linear Euler harmonic sum identities are given.
Anthony Sofo
doaj   +1 more source

The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology

open access: yes, 2017
In 2014, Kings and Rossler showed that the realization of the degree zero part of the abelian polylogarithm in analytic Deligne cohomology can be described in terms of a class of currents which was previously defined by Maillot and Rossler and strongly ...
Scarponi, Danny, Danny Scarponi
core   +1 more source

Development of a new analytical solution for electronic heat capacity for higher electron temperatures

open access: yesResults in Physics
A new analytical solution has been found for the electronic heat capacity of typical s-band metals. It is valid for high electron temperatures of the order of tens of kK, commonly reached in fs pulsed laser ablation.
S. Vela, C. Molpeceres, M. Morales
doaj   +1 more source

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