Multiple Polylogarithms: A Brief Survey
By Douglas Bowman, David M. Bradley. 2003
63 citations recorded by the source corpus.
We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we an- nounce 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.
View Paper: https://www.semanticscholar.org/paper/81a1cd32ae427875264e725abe77c47f153a9e11
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- Hari M. Srivastava
- Junesang Choi
- Michael E. Hoffman
- Jianqiang Zhao
- I. Mező
- Qiu-Ming Luo
- Yilmaz Simsek
- Anthony Sofo
Citations in the corpus
- Nonlinear Euler sums (2014, background): “A brief survey on multiple polylogarithms can be found in [Bowman and Bradley 2001].”
- Explicit Evaluation of Euler and Related Sums (2005, background): “Fo ra remarkably clear and insightful exposition of several important results and conjectures concerning multiple Polylogarithms and the multiple Zeta functions (including especially a broad survey of recent works on multiple Zeta series and Euler sums of arbitrary degree), the interested reader sho”
- Multiple q-zeta functions and multiple q-polylogarithms (2003, background): “Some of the ideas and results in this paper have been suggested or proved also by Bowman and Bradley [ 3 ] and Bradley [4] independently.”
- QUASI-SYMMETRIC FUNCTIONS AND MOD p MULTIPLE HARMONIC SUMS (2004, background): “which converge for i1 > 1; see, for example, [2, 14, 15, 17, 18, 28, 29].”