- Title
- Multiple q-zeta brackets
- Creator
- Zudilin, Wadim
- Relation
- ARC.DP140101186
- Relation
- Mathematics Vol. 3, Issue 1, p. 119-130
- Publisher Link
- http://dx.doi.org/10.3390/math3010119
- Publisher
- MDPI AG
- Resource Type
- journal article
- Date
- 2015
- Description
- 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 q-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 q-analogue.
- Subject
- multiple zeta value; q-analogue; multiple divisor sum; double shuffle relations; linear independence; radial asymptotics
- Identifier
- http://hdl.handle.net/1959.13/1330808
- Identifier
- uon:26481
- Identifier
- ISSN:2227-7390
- Rights
- This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
- Language
- eng
- Full Text
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