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2009 Fiscal Year Final Research Report

Distribution of units of an algebraic number field modulo rational primes

Research Project

  • PDF
Project/Area Number 18540056
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

KITAOKA Yoshiyuki  Meijo University, 理工学部, 教授 (40022686)

Project Period (FY) 2006 – 2009
Keywords整数論
Research Abstract

I studied distribution of units of an algebraic number field modulo rational primes.

  • Research Products

    (7 results)

All 2010 2009 2008 2007 2006

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (3 results)

  • [Journal Article] A statistical relation of roots of a polynomial in different local files II, Number Theory : Dreaming in Dreams2010

    • Author(s)
      Y. Kitaoka
    • Journal Title

      World Scientific Vol.6

      Pages: 106-126

    • Peer Reviewed
  • [Journal Article] A statistical relation of roots of a polynomial in different local fields2009

    • Author(s)
      Y. Kitaoka
    • Journal Title

      Math. of Comp. 78

      Pages: 523-536

    • Peer Reviewed
  • [Journal Article] Distribution of units of an algebraic number field modulo an ideal, Number Theory, Sailing on the sea of number theory2009

    • Author(s)
      Y. Kitaoka
    • Journal Title

      World Scientific

      Pages: 39-96

    • Peer Reviewed
  • [Journal Article] Distribution of units of a cubic abelian field modulo prime numbers2006

    • Author(s)
      Y. Kitaoka
    • Journal Title

      J. Math. Soc. Japan vol58

      Pages: 563-584

    • Peer Reviewed
  • [Presentation] 多項式の異なる局所体での根の分布について2008

    • Author(s)
      北岡良之
    • Organizer
      数理解析研解析的整数論の新しい展開
    • Place of Presentation
      数理解析研究所
    • Year and Date
      2008-10-28
  • [Presentation] 多項式の異なる局所体での根達の統計的関係について2008

    • Author(s)
      北岡良之
    • Organizer
      博多数論小研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2008-02-23
  • [Presentation] 単数の分布について2007

    • Author(s)
      北岡良之
    • Organizer
      北陸数論研究集会
    • Place of Presentation
      石川シティカレッジ
    • Year and Date
      2007-12-26

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Published: 2011-06-18   Modified: 2016-04-21  

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