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Automorphic forms and its arithmetic

Research Project

Project/Area Number 14540050
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Algebra
Research InstitutionRitsumeikan University

Principal Investigator

DOI Koji  Ritsumeikan Univ., Fac Science and Engineering, Professor, 理工学研究所, 教授 (20025290)

Co-Investigator(Kenkyū-buntansha) OKADA Kaoru  Ritsumeikan Univ., Fac Science and Engineering, Assistant, 理工学部, 助手 (40360250)
ISHII Hidenori  Ritsumeikan Univ., Fac Science and Engineering, Professor, 理工学部, 教授 (60159671)
Project Period (FY) 2002 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥1,800,000 (Direct Cost: ¥1,800,000)
Fiscal Year 2003: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2002: ¥900,000 (Direct Cost: ¥900,000)
KeywordsAutomorphic form / Hecke operator / Hubert modular form / Eigenvalue / Shimura variety / modular curves / Hilbert modular forms / Hilbert保型形式 / 固有値のconductor / L-級数の特殊値
Research Abstract

1.The head investigator of this project has invited Progessor Haruzo Hida at UCLA to make the lectures on his recent research book "p-adic automoiphic forms on Shimum varieties" (Spiinger-Verlag 2004). This invitation was done by the aid of Gmntln-Aid for Scientific Researh(2003) for a period of one month in the summer term in 2003 at Ritsumeikan University.
2.One of our investigator, Kaoru Okada, has published his research article "Hecke eigenvalues for real quadtic fields on the journal : Experimental Mathematics 11(2002), 407-426.

Report

(3 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • Research Products

    (3 results)

All Other

All Publications (3 results)

  • [Publications] Kaoru Okada: "Hecke eigenvalues for real quadratic fields"Experimental Mathematics. 11. 407-426 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kaoru Okada: "Hecke eigenvalues for real quadratic fields"Experimental Mathematics. 11. 407-426 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kaoru Okada: "Hecke Eigenvalues for Real Quadratic Fields"Experimental Mathematics. 11・3. 425-444 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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