Cyclic sum of multiple zeta values

By Yasuo Ohno, Noriko Wakabayashi. 2006

58 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/9fc8b370867a465e5f39adaafef3d74e6bf281e4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. K. Ihara
2. Jos Vermaseren
3. David John Broadhurst
4. J. Blumlein
5. Gaku Kawashima
6. J. Okuda
7. Jun Kajikawa
8. Yasuo Ohno

In Applied Mathematics

1. David John Broadhurst
2. Jos Vermaseren
3. J. Blumlein
4. Gaku Kawashima
5. Jun Kajikawa
6. K. Ihara
7. J. Okuda
8. Yasuo Ohno

Citations in the corpus

• The Multiple Zeta Value data mine (2009, methodology): “Further theorems are the Le–Murakami Theorem [75], the Ohno Theorem [76], which generalizes the Sum- and Duality Theorems, the Ohno–Zagier Theorem [77], which covers the Le–Murakami Theorem and the Sum Theorem, and generalizes a theorem by Hoffman [39,40], and the Cyclic Sum Theorem [78].”
• A class of relations among multiple zeta values (2007, background): “Ohno’s relation, the cyclic sum formula and the derivation relation [7, 8, 15, 16].”
• Multiple zeta values vs. multiple zeta-star values (2011, methodology): “Incidentally, using the cyclic sum formula [21] of the multi-indices ({2, {1}m−1}r) and ({3}r) for arbitrary m, r ∈ N, we obtain”