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math.CA2003
Multiple Polylogarithms: A Brief Survey
Douglas Bowman, David M. Bradley
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…
math.CA2003
Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth
Douglas Bowman, David M. Bradley
We prove some new evaluations for multiple polylogarithms of arbitrary depth. The simplest of our results is a multiple zeta evaluation one order of complexity beyond the well-know…