TY - JOUR
T1 - GENERATING FUNCTIONS FOR OHNO TYPE SUMS OF FINITE AND SYMMETRIC MULTIPLE ZETA-STAR VALUES*
AU - Hirose, Minoru
AU - Murahara, Hideki
AU - Saito, Shingo
N1 - Funding Information:
Acknowledgements. This work was supported by JSPS KAKENHI Grant Numbers JP18J00982, JP18K03243, and JP18K13392.
Publisher Copyright:
© 2021 International Press
PY - 2021
Y1 - 2021
N2 - Ohno’s relation states that a certain sum, which we call an Ohno type sum, of multiple zeta values remains unchanged if we replace the base index by its dual index. In view of Oyama’s theorem concerning Ohno type sums of finite and symmetric multiple zeta values, Kaneko looked at Ohno type sums of finite and symmetric multiple zeta-star values and made a conjecture on the generating function for a specific index of depth three.
AB - Ohno’s relation states that a certain sum, which we call an Ohno type sum, of multiple zeta values remains unchanged if we replace the base index by its dual index. In view of Oyama’s theorem concerning Ohno type sums of finite and symmetric multiple zeta values, Kaneko looked at Ohno type sums of finite and symmetric multiple zeta-star values and made a conjecture on the generating function for a specific index of depth three.
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U2 - 10.4310/AJM.2021.v25.n6.a4
DO - 10.4310/AJM.2021.v25.n6.a4
M3 - Article
AN - SCOPUS:85141761416
SN - 1093-6106
VL - 25
SP - 871
EP - 882
JO - Asian Journal of Mathematics
JF - Asian Journal of Mathematics
IS - 6
ER -