Analytic continuation of multiple zeta-functions and their values at non-positive integers
By Shigeki Akiyama, S. Egami, Yoshio Tanigawa. 2001
194 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/ab56b26319ca95c6908cb7dcabf18a983baf5e15
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In Algebra and Number Theory
- Li Guo
- Jianqiang Zhao
- David M. Bradley
- Bin Zhang
- Kohji Matsumoto
- Yoshio Tanigawa
- Shigeki Akiyama
- Douglas Bowman
In Applied Mathematics
- Yoshio Tanigawa
- Jianqiang Zhao
- Shigeki Akiyama
- Kohji Matsumoto
- David M. Bradley
- H. Ishikawa
- Douglas Bowman
- Li Guo
In Discrete Mathematics and Combinatorics
- Li Guo
- Jianqiang Zhao
- David M. Bradley
- Kohji Matsumoto
- Bin Zhang
- Douglas Bowman
- H. Ishikawa
- Shigeki Akiyama
Citations in the corpus
- Multiple Polylogarithms: A Brief Survey (2003, methodology): “Akiyama, Egami and Tanigawa [ 1 ] using the Euler-Maclaurin summation formula.”
- Renormalization of multiple zeta values (2006, background): “In [2, 4], several definitions were proposed for the non-positive MZVs, that is, the values of ζ(s1, · · · , sk) when si are all non-positive.”
- On Analytic Continuation of Multiple L-Functions and Related Zeta-Functions (2002, methodology): “To speak about the analytic continuation with respect to all variables, we have to refer to J. Zhao [11] and S.Akiyama, S.Egami and Y.Tanigawa [ 1 ].”
- Multiple q-zeta functions and multiple q-polylogarithms (2003, methodology): “The analytic continuation of multiple zeta functions has been studied independently in [1] and [11].”
- ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV (2009, background): “These singularities are not cancelled each other, as can be easily proved by the “change of variables” technique, originally introduced in Akiyama, Egami and Tanigawa [1] (see Section 4 of [17]).”
- Multiple Zeta Values at Non-Positive Integers (2001, methodology): “[ 1 ], we developed a simple way of an analytic continuation using the Euler-Maclaurin summation formula and discussed some relations among values at non-positive integers.”