Multiple Polylogarithms: A Brief Survey

Details Multiple Polylogarithms: A Brief Survey Multiple Polylogarithms: A Brief Survey

2003-10-05

arxiv.org/abs/math/0310062v1

pp. 71--92 in "q-series with applications to combinatorics, number theory, and physics" (Urbana, Illinois, 2000), Contemporary

Mathematics

Classical Analysis and ODEs

22 pages, in "Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics," (Bruce C

Scientific paper

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.

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