20 citations · 28 across the 11 of their papers we have counts for
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The Algebra and Combinatorics of Shuffles and Multiple Zeta Values
Douglas Bowman, David M. Bradley
The algebraic and combinatorial theory of shuffles, introduced by Chen and Ree, is further developed and applied to the study of multiple zeta values. In particular, we establish e…
A Pair of Difference Differential Equations of Euler-Cauchy Type
David M. Bradley
We study two classes of linear difference differential equations analogous to Euler-Cauchy ordinary differential equations, but in which multiple arguments are shifted forward or b…
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…
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…