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Multi-Poly-Bernoulli Numbers and Finite Multiple Zeta Values
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- Imatomi, Kohtaro
- Graduate School of Mathematics, Kyushu University
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- Kaneko, Masanobu
- Faculty of Mathematics, Kyushu University : Professor
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- Takeda, Erika
- Graduate School of Mathematics, Kyushu University
Description
We define the multi-poly-Bernoulli numbers slightly differently from the similar numbers given in earlier papers by Bayad, Hamahata, and Masubuchi, and study their basic properties. Our motivation for the new definition is the connection to “finite multiple zeta values”, which have been studied by Hoffman and Zhao, among others, and are recast in a recent work by Zagier and the second author. We write the finite multiple zeta value in terms of our new multi-poly-Bernoulli numbers.
Journal
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- Journal of Integer Sequences
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Journal of Integer Sequences 17 1-12, 2014-02-17
University of Waterloo
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Details 詳細情報について
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- CRID
- 1050861482659175424
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- NII Article ID
- 120005372165
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- HANDLE
- 2324/1398588
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles
- KAKEN
- Crossref