Abstract
The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.
Original language | English |
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Title of host publication | Developments in Mathematics |
Pages | 145-170 |
Number of pages | 26 |
Volume | 14 |
Publication status | Published - 2005 |
Publication series
Name | Developments in Mathematics |
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Volume | 14 |
ISSN (Print) | 13892177 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation. / Jun-ichi, Okuda; Ueno, Kimio.
Developments in Mathematics. Vol. 14 2005. p. 145-170 (Developments in Mathematics; Vol. 14).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - The sum formula for multiple zeta values and connection problem of the formal Knizhnik-Zamolodchikov equation
AU - Jun-ichi, Okuda
AU - Ueno, Kimio
PY - 2005
Y1 - 2005
N2 - The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.
AB - The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for poly logarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.
UR - http://www.scopus.com/inward/record.url?scp=68549133500&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=68549133500&partnerID=8YFLogxK
M3 - Chapter
AN - SCOPUS:68549133500
SN - 9780387249728
VL - 14
T3 - Developments in Mathematics
SP - 145
EP - 170
BT - Developments in Mathematics
ER -