TY - JOUR
T1 - Cyclic relation for multiple zeta functions
AU - Murahara, Hideki
AU - Onozuka, Tomokazu
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number JP19K14511.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2022/9
Y1 - 2022/9
N2 - The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation.
AB - The cyclic relation obtained in a study by Hirose, Murakami, and the first-named author, is a wide class of relations, which includes the well-known cyclic sum formula for multiple zeta and zeta-star values, and the derivation relation for multiple zeta values. In this paper, we present its generalization to complex variables. Our proof includes a new proof of the cyclic relation.
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U2 - 10.1007/s40993-022-00363-4
DO - 10.1007/s40993-022-00363-4
M3 - Article
AN - SCOPUS:85137505790
SN - 2363-9555
VL - 8
JO - Research in Number Theory
JF - Research in Number Theory
IS - 3
M1 - 64
ER -