TY - JOUR
T1 - Linear relations of Ohno sums of multiple zeta values
AU - Hirose, Minoru
AU - Murahara, Hideki
AU - Onozuka, Tomokazu
AU - Sato, Nobuo
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Numbers, JP18J00982 , JP18K13392 , JP19J00835 , and JP19K14511 .
Publisher Copyright:
© 2020 Royal Dutch Mathematical Society (KWG)
PY - 2020/7
Y1 - 2020/7
N2 - Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohno sum. In this paper, we investigate Q-linear relations among Ohno sums which are not contained in Ohno's relation. We prove two new families of such relations, and pose several further conjectural families of such relations.
AB - Ohno's relation is a well-known family of relations among multiple zeta values, which can naturally be regarded as a type of duality for a certain power series which we call an Ohno sum. In this paper, we investigate Q-linear relations among Ohno sums which are not contained in Ohno's relation. We prove two new families of such relations, and pose several further conjectural families of such relations.
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U2 - 10.1016/j.indag.2020.04.004
DO - 10.1016/j.indag.2020.04.004
M3 - Article
AN - SCOPUS:85084212357
SN - 0019-3577
VL - 31
SP - 556
EP - 567
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 4
ER -