多个zeta星值的循环插入型恒等式的类似物

Pub Date : 2018-06-26 DOI:10.2206/kyushujm.74.337
Steven Charlton
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引用次数: 1

摘要

我们证明了多个ζ星值的同一性,这概括了由于今通、田中、塔坂和若狭的一些同一性。对于多个ζ星值,该恒等式给出了循环插入型恒等式的类似,并将块分解与赵的广义2-1公式联系起来。
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ANALOGUES OF CYCLIC INSERTION-TYPE IDENTITIES FOR MULTIPLE ZETA STAR VALUES
We prove an identity for multiple zeta star values, which generalises some identities due to Imatomi, Tanaka, Tasaka and Wakabayashi. This identity gives an analogue of cyclic insertion type identities, for multiple zeta star values, and connects the block decomposition with Zhao's generalised 2-1 formula.
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