TY - JOUR
T1 - A sum formula of multiple L-values
AU - Yamamoto, Shuji
N1 - Funding Information:
The author expresses his gratitude to Hirofumi Tsumura for introducing the conjecture of [2] in his talk. The author also thanks the referee for giving him the information about Littlewood’s identity related to Lemma 2.1. This work was supported in part by Grant-in-Aid for JSPS Fellows (No. 09J05093) and by JSPS Grant-in-Aid for Young Scientists (S) (No. 21674001).
Publisher Copyright:
© World Scientific Publishing Company.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2015/2/25
Y1 - 2015/2/25
N2 - We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.
AB - We prove an alternating sum formula of certain multiple L-values conjectured by Essouabri, Matsumoto and Tsumura, which generalizes the sum formula of multiple zeta values. The proof relies on the method of partial fraction decomposition.
KW - Multiple L-values
KW - Multiple polylogarithms
KW - Multiple zeta values
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U2 - 10.1142/S1793042115500074
DO - 10.1142/S1793042115500074
M3 - Article
AN - SCOPUS:84928288567
SN - 1793-0421
VL - 11
SP - 127
EP - 137
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 1
ER -