Cyclic relation for multiple zeta functions

被引：0
|
作者：
Hideki Murahara
Tomokazu Onozuka
机构：
[1] The University of Kitakyushu,Institute of Mathematics for Industry
[2] Kyushu University 744,undefined
来源：
Research in Number Theory | 2022年 / 8卷
关键词：
Multiple zeta function; Multiple zeta values; Cyclic relation; Cyclic sum formula; Derivation relation; Primary 11M32;
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摘要：
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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