Multiple Zeta Values at Non-Positive Integers

By Shigeki Akiyama, Yoshio Tanigawa. 2001

108 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/dcedc9c970430871e3e677276ffefe11ab41877b

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. Li Guo
2. Bin Zhang
3. Don Zagier
4. Masanobu Kaneko
5. Herbert Gangl
6. Kurusch Ebrahimi-Fard
7. William F. Keigher
8. Aaron Pollack

In Discrete Mathematics and Combinatorics

1. Li Guo
2. Bin Zhang
3. Don Zagier
4. Masanobu Kaneko
5. Herbert Gangl
6. Aaron Pollack
7. F. Brown
8. Dominique Manchon

Citations in the corpus

• Double Zeta values and modular forms (2006, background): “These are almost exactly the same as the numbers (49) occurring in the result on the image of cusp forms in W− k cited above! Also note that the number Z B r,s is essentially the double zeta value ζ(1−r, 1−s)/(r−1)!(s−1)! at negative arguments, which has been studied in [1].”
• Renormalization of multiple zeta values (2006, background): “(2), exactly when s1 + s2 is negative and odd, the zeta values ζ(s1, s2) is defined by analytic continuation and thus agrees with the iterated limit lim z2→s2 lim z1→s1 ζ(z1, z2) defined in [3], Eq.”
• Multiple q-zeta functions and multiple q-polylogarithms (2003, unknown): “One should compare this with the corresponding definitions for multi-zeta values in [1].”