View in EDS PDF Full Text

Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.

Saved in:
Bibliographic Details
Title: Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.
Authors: Yukihiro HATTORI1, Hideaki MORITA1
Source: Proceedings of the Japan Academy, Series A: Mathematical Sciences. Nov2016, Vol. 92 Issue 9, p107-111. 5p.
Subjects: Zeta functions, Ruelle operators, Dynamical systems, L-functions, Artin algebras
Abstract: A complex reflection determines an L-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the L-function is the Ruelle zeta function associated with a weighted Z-dynamical system. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the Japan Academy, Series A: Mathematical Sciences is the property of Japan Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 119466807
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Yukihiro+HATTORI%22">Yukihiro HATTORI</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Hideaki+MORITA%22">Hideaki MORITA</searchLink><relatesTo>1</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Proceedings+of+the+Japan+Academy%2C+Series+A%3A+Mathematical+Sciences%22">Proceedings of the Japan Academy, Series A: Mathematical Sciences</searchLink>. Nov2016, Vol. 92 Issue 9, p107-111. 5p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Zeta+functions%22">Zeta functions</searchLink><br /><searchLink fieldCode="DE" term="%22Ruelle+operators%22">Ruelle operators</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink><br /><searchLink fieldCode="DE" term="%22L-functions%22">L-functions</searchLink><br /><searchLink fieldCode="DE" term="%22Artin+algebras%22">Artin algebras</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A complex reflection determines an L-function which is a generalization of the Artin-Mazur zeta function associated with an element of the symmetric group. The present paper shows that the L-function is the Ruelle zeta function associated with a weighted Z-dynamical system. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Proceedings of the Japan Academy, Series A: Mathematical Sciences is the property of Japan Academy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=119466807
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.3792/pjaa.92.107
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 5
        StartPage: 107
    Subjects:
      – SubjectFull: Zeta functions
        Type: general
      – SubjectFull: Ruelle operators
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
      – SubjectFull: L-functions
        Type: general
      – SubjectFull: Artin algebras
        Type: general
    Titles:
      – TitleFull: Ruelle zeta functions for finite dynamical systems and Koyama-Nakajima's L-functions.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Yukihiro HATTORI
      – PersonEntity:
          Name:
            NameFull: Hideaki MORITA
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 11
              Text: Nov2016
              Type: published
              Y: 2016
          Identifiers:
            – Type: issn-print
              Value: 03862194
          Numbering:
            – Type: volume
              Value: 92
            – Type: issue
              Value: 9
          Titles:
            – TitleFull: Proceedings of the Japan Academy, Series A: Mathematical Sciences
              Type: main
ResultId 1