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  1. 040 理学部
  2. 0401 学術論文

Zeta functions of adjacency algebras of association schemes of prime order or rank two

http://hdl.handle.net/10091/00020627
e962a996-67fa-4c77-b53c-819ea53fbfdf
名前 / ファイル ライセンス アクション
euclid.hokmj.1470080749.pdf euclid.hokmj.1470080749.pdf (251.4 kB)
Item type 学術雑誌論文 / Journal Article(1)
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
キーワード
主題Scheme Other
主題 zeta functions
キーワード
主題Scheme Other
主題 adjacency algebras
キーワード
主題Scheme Other
主題 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

WEKO 105661

Hanaki, Akihide

Search repository
Hirasaka, Mitsugu

× Hirasaka, Mitsugu

WEKO 105662

Hirasaka, Mitsugu

Search repository
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
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
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.14492/hokmj/1470080749
関連名称
関連名称 10.14492/hokmj/1470080749
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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