Multiple q -Zeta Brackets

Wadim Zudilin
Additional contact information
Wadim Zudilin: School of Mathematical and Physical Sciences, the University of Newcastle, Callaghan, NSW 2308, Australia

Mathematics, 2015, vol. 3, issue 1, 1-12

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 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.

Keywords: multiple zeta value; q -analogue; multiple divisor sum; double shuffle relations; linear independence; radial asymptotics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/3/1/119/pdf (application/pdf)
https://www.mdpi.com/2227-7390/3/1/119/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:3:y:2015:i:1:p:119-130:d:47126

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().