Abstract
We define polynomials of one variable t whose values at t = 0 and 1 are the multiple zeta values and the multiple zeta-star values, respectively. We give an application to the two-one conjecture of Ohno-Zudilin, and also prove the sum formula and the cyclic sum formula for these polynomials.
| Original language | English |
|---|---|
| Pages (from-to) | 102-114 |
| Number of pages | 13 |
| Journal | Journal of Algebra |
| Volume | 385 |
| DOIs | |
| Publication status | Published - 2013 Jul 1 |
| Externally published | Yes |
Keywords
- Cyclic sum formula
- Multiple zeta values
- Multiple zeta-star values
- Sum formula
- Two-one conjecture
ASJC Scopus subject areas
- Algebra and Number Theory