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Multiple zeta values vs. multiple zeta-star values
- Source :
-
Journal of Algebra . Apr2011, Vol. 332 Issue 1, p187-208. 22p. - Publication Year :
- 2011
-
Abstract
- Abstract: We discuss an algebraic connection between two kinds of multiple zeta values or their q-analogues: the (q-)multiple zeta values and the (q-)multiple zeta-star values. These two classes of values generate the same algebra, but in this paper, we show that the translation map between these two classes has a quite interesting algebraic property in a general setting, for example, the compatibility with the harmonic product. We also study several applications of the result. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 332
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 59167404
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2010.12.029