Multiple zeta values of fixed weight, depth, and height
By Yasuo Ohno, Don Zagier. 2001
113 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/7a5c90c807a78f4ea05624412033eaae70f7b80d
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
- Michael E. Hoffman
- Jos Vermaseren
- David John Broadhurst
- J. Blumlein
- Don Zagier
- Yasuo Ohno
- Erik Panzer
- F. Brown
In Discrete Mathematics and Combinatorics
- Michael E. Hoffman
- J. Blumlein
- Jos Vermaseren
- David John Broadhurst
- Don Zagier
- Yasuo Ohno
- Erik Panzer
- S. Stieberger
Citations in the corpus
- On relations for the multiple q-zeta values (2007, unknown): “By expanding the right hand side of (5) with the q-stuffle rule (6), choosing the part of weight 6, and dividing both sides by z− xy, we obtain the coefficients as follows: x4 :0 = 0, y4 :ζ[2, 1, 1, 1, 1] = ζ[5], x3y :ζ[5, 1] = ζ[6]− ζ[4, 2]− ζ[3, 3]− ζ[2, 4], xy3 :ζ[3, 1, 1, 1] = ζ[6]− ζ[4, 2]− ζ[3”
- The Multiple Zeta Value data mine (2009, methodology): “Further theorems are theL –Murakami Theorem, [75], theOhno Theorem, [76], which generalizes the sum- and duality theorem, the Ohno–Zagier Theorem, [77], which covers the Le–Murakami theorem and the sum theorem, and generalizes a theorem by Hoffman [39,40], and thecyclic sum theorem, [78].”
- Relations of multiple zeta values and their algebraic expression (2000, background): “Many other identities have been conjectured and proved in the last decade [2,3,15,17, 18 ], but surprising new ones continue to appear.”
- Evaluation of the multiple zeta values $\zeta(2,\dots,2,3,2,\dots,2)$ (2012, background): “We observe that both (5) and (23) (for H(a, b)) are special cases of the main result of [9], which gave an explicit formula in terms of a generating function of the numbers G0(k, n, s) defined as the sum of all MZV’s of weight (= sum of the arguments) k, depth (= number of arguments) n and height (=”