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Zeta functions of adjacency algebras of association schemes of prime order or rank two
http://hdl.handle.net/10091/00020627
http://hdl.handle.net/10091/00020627e962a996-67fa-4c77-b53c-819ea53fbfdf
名前 / ファイル | ライセンス | アクション |
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euclid.hokmj.1470080749.pdf (251.4 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2018-05-24 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Zeta functions of adjacency algebras of association schemes of prime order or rank two | |||||
言語 | ||||||
言語 | eng | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.14492/hokmj/1470080749 | |||||
関連名称 | 10.14492/hokmj/1470080749 | |||||
キーワード | ||||||
主題 | zeta functions, adjacency algebras, association schemes | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
Hanaki, Akihide
× Hanaki, Akihide× Hirasaka, Mitsugu |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Hanaki, Akihide | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.ZakeHCkF.html | |||||
出版者 | ||||||
出版者 | HOKKAIDO UNIV, DEPT MATHEMATICS | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | HOKKAIDO MATHEMATICAL JOURNAL. 45(1):75-91 (2016) | |||||
書誌情報 |
HOKKAIDO MATHEMATICAL JOURNAL 巻 45, 号 1, p. 75-91, 発行日 2016-02 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For a module L which has only finitely many submodules with a given finite index we define the zeta function of L to be a formal Dirichlet series zeta(L) (s) = Sigma(n >= 1) a(n)n(-s) where a(n) is the number of submodules of L with index n. For a commutative ring R and an association scheme (X, S) we denote the adjacency algebra of (X, S) over R by RS. In this article we aim to compute zeta(ZS)(s), where ZS is viewed as a regular ZS-module, under the assumption that vertical bar X vertical bar is a prime or vertical bar S vertical bar = 2. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0385-4035 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00664662 | |||||
権利 | ||||||
権利情報 | Copyright © 2016 Department of Mathematics, Hokkaido University | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
WoS | ||||||
表示名 | Web of Science | |||||
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