Multiple Polylogarithms: A Brief Survey
经典分析与常微分方程
2007-06-13 v1 数论
摘要
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.
引用
@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}
}
备注
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]