TY - JOUR
T1 - On some multiple zeta-star values of one-two-three indices
AU - Tasaka, Koji
AU - Yamamoto, Shuji
N1 - Funding Information:
We would like to thank the referee who suggested the algebraic expression on the identity of Theorem 3.1. This work was supported in part by Grant-in-Aid for JSPS Fellows (No. 09J05093, No. 241440) and by JSPS Grand-in-Aid for Young Scientists (S) (No. 21674001).
PY - 2013/8
Y1 - 2013/8
N2 - In this paper, we present some identities for multiple zeta-star values with indices obtained by inserting 3 or 1 into the string 2,.., 2. Our identities give analogues of Zagier's evaluation of ζ(2,.., 2, 3, 2,.., 2) and examples of a kind of duality of multiple zeta-star values. Moreover, their generalizations give partial solutions of conjectures proposed by Imatomi, Tanaka, Wakabayashi and the first author.
AB - In this paper, we present some identities for multiple zeta-star values with indices obtained by inserting 3 or 1 into the string 2,.., 2. Our identities give analogues of Zagier's evaluation of ζ(2,.., 2, 3, 2,.., 2) and examples of a kind of duality of multiple zeta-star values. Moreover, their generalizations give partial solutions of conjectures proposed by Imatomi, Tanaka, Wakabayashi and the first author.
KW - Multiple zeta values
KW - multiple zeta-star values
KW - two-one formula
UR - http://www.scopus.com/inward/record.url?scp=84876496219&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84876496219&partnerID=8YFLogxK
U2 - 10.1142/S1793042113500188
DO - 10.1142/S1793042113500188
M3 - Article
AN - SCOPUS:84876496219
SN - 1793-0421
VL - 9
SP - 1171
EP - 1184
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 5
ER -