Combinatorial relations for Euler-Zagier sums
By Hirofumi Tsumura. 2004
69 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/0c0fbb9c0115de5b02be9f1f214bc6b6e05b5b2d
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
- Erik Panzer
- F. Brown
- K. Ihara
- Masanobu Kaneko
- Hirofumi Tsumura
- Gudrun Heinrich
- Claude Duhr
- Falko Dulat
In Discrete Mathematics and Combinatorics
Citations in the corpus
- Depth-graded motivic multiple zeta values (2013, result): “The following result is well-known, and was first proved by Tsumura [35], and subsequently in ([21], theorem 7).”
- Derivation and double shuffle relations for multiple zeta values (2006, result): “This result, of which a different proof was given by Tsumura [Tsu04], generalizes classical results of Euler for n = 1 (that ζ(2j) is expressible as a product of smaller zeta values for j 2) and n = 2 (that all double zeta values of odd weight can be expressed in terms of Riemann zeta values.)”
- On multiple zeta values of level two (2020, background): “The so-called parity result, proved in the case of MZVs in [9, 20], also holds for MTVs.”
- Feynman integrals and hyperlogarithms (2015, background): “For the proof we need the well-known parity theorem on multiple zeta values [104, 172].”