| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10181112 | Comptes Rendus Mathematique | 2014 | 5 Pages |
Abstract
We interpret a conjecture on finite multizetas, due to Kaneko and Zagier, in terms of the De Rham fundamental groupoid Î DR(P1â{0,1,â}). We call the numbers that appear in this conjecture symmetrized multizetas. We show that finite multizetas and symmetrized multizetas satisfy the same variant of the double shuffle relations. We show that symmetrized multizetas satisfy a variant of certain associator relations, interpreting geometrically a result of Hoffman on finite multizetas. This is a preamble to a larger study of symmetrized multizetas and finite multizetas.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
David Jarossay,