TY - JOUR
T1 - Shuffle product of finite multiple polylogarithms
AU - Ono, Masataka
AU - Yamamoto, Shuji
PY - 2016/5/30
Y1 - 2016/5/30
N2 - In this paper, we define a finite sum analogue of multiple polylogarithms inspired by the work of Kaneko and Zagier (in the article “Finite multiple zeta values” in preparation) and prove that they satisfy a certain analogue of the shuffle relation. Our result is obtained by using a certain partial fraction decomposition which is an idea due to Komori et al. (Math Z 268:993–1011, 2011). As a corollary, we give an algebraic interpretation of our shuffle product.
AB - In this paper, we define a finite sum analogue of multiple polylogarithms inspired by the work of Kaneko and Zagier (in the article “Finite multiple zeta values” in preparation) and prove that they satisfy a certain analogue of the shuffle relation. Our result is obtained by using a certain partial fraction decomposition which is an idea due to Komori et al. (Math Z 268:993–1011, 2011). As a corollary, we give an algebraic interpretation of our shuffle product.
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U2 - 10.1007/s00229-016-0856-9
DO - 10.1007/s00229-016-0856-9
M3 - Article
AN - SCOPUS:84973109409
SP - 1
EP - 14
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
SN - 0025-2611
ER -