Multiple Polylogarithms: A Brief Survey
Classical Analysis and ODEs
2007-06-13 v1 Number Theory
Abstract
We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we announce our resolution of several conjectures on multiple zeta values. We also provide a new integral representation for the general multiple polylogarithm, and develop a q-analogue of the shuffle product.
Cite
@article{arxiv.math/0310062,
title = {Multiple Polylogarithms: A Brief Survey},
author = {Douglas Bowman and David M. Bradley},
journal= {arXiv preprint arXiv:math/0310062},
year = {2007}
}
Comments
22 pages, in "Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics," (Bruce C. Berndt and Ken Ono eds.) American Mathematical Society, Contemporary Mathematics, Vol. 291, 2001, pp. 71-92. [MR #2003c:33021]