Multiple Polylogarithms: A Brief Survey
Douglas Bowman, David M. Bradley
Abstract
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.
Create a lesson
Related papers
Sharp mixed Ap-A∞ estimates for sparse operators on filtered and nonhomogeneous measure spaces
Francisco Gonçalves, Emiel Lorist
Lp Decay Estimates for Circular Means of Fractal Measures in R2
Zhenbin Cao, Feilong Guo, Junfeng Li
The divergence set for the wave equation in higher dimensions
Xiumin Du, Terence L. J. Harris, Jianhui Li
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
Rigorous analysis of giant magnetic vortex strings
Ovidiu Avadanei, Wilhelm Schlag
Multilinear Mikhlin Multipliers with Degenerate Singularities
Hanaë Vandanjon