Open Access
December 2007 A Remark on Nilpotent Polylogarithmic Extensions of the Field of Rational Functions of One Variable over $\mathbf{C}$
Zdzisław WOJTKOWIAK
Tokyo J. Math. 30(2): 373-382 (December 2007). DOI: 10.3836/tjm/1202136682

Abstract

In this note we construct explicitly a family of nilpotent polylogarithmic extensions unramified outside three points of the field $\mathbf{C}(z)$ of rational functions of one variable over $\mathbf{C}$. We show how to use these extensions to calculate explicitly $l$-adic polylogarithms introduced in [5].

Citation

Download Citation

Zdzisław WOJTKOWIAK. "A Remark on Nilpotent Polylogarithmic Extensions of the Field of Rational Functions of One Variable over $\mathbf{C}$." Tokyo J. Math. 30 (2) 373 - 382, December 2007. https://doi.org/10.3836/tjm/1202136682

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1147.11034
MathSciNet: MR2376515
Digital Object Identifier: 10.3836/tjm/1202136682

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

Vol.30 • No. 2 • December 2007
Back to Top