Kawashima's relations for interpolated multiple zeta values
| Autor: | Tatsushi Tanaka, Noriko Wakabayashi |
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| Rok vydání: | 2016 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Conjecture Generalization Mathematics::Number Theory Operator (physics) 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 010103 numerical & computational mathematics 01 natural sciences 0101 mathematics Variable (mathematics) Mathematics |
| Zdroj: | Journal of Algebra. 447:424-431 |
| ISSN: | 0021-8693 |
| Popis: | Recently, Yamamoto introduced polynomials in one variable t which interpolates multiple zeta and zeta-star values ( t -MZVs for short), provided new prospects on two-one conjecture of Ohno and Zudilin and proved the cyclic sum formula for t -MZVs. In this paper, we establish a generalization of Kawashima's relations ( t -Kawashima relations) for t -MZVs. We prove the cyclic sum formula for t -MZVs using a type of derivation operator, together with the t -Kawashima relations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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