Multiple $q$-zeta brackets
Number Theory
2015-03-24 v2 Mathematical Physics
math.MP
Abstract
The multiple zeta values (MZVs) possess a rich algebraic structure of algebraic relations, which is conjecturally determined by two different (shuffle and stuffle) products of a certain algebra of noncommutative words. In a recent work, Bachmann constructed a -analogue of the MZVs -- the so-called bi-brackets -- for which the two products are dual to each other, in a very natural way. We overview Bachmann's construction and discuss the radial asymptotics of the bi-brackets, its links to the MZVs, and related linear (in)dependence questions of the -analogue.
Keywords
Cite
@article{arxiv.1412.0163,
title = {Multiple $q$-zeta brackets},
author = {Wadim Zudilin},
journal= {arXiv preprint arXiv:1412.0163},
year = {2015}
}
Comments
12 pages