Distribution of units of an algebraic number field modulo rational primes

• Project/Area Number: 18540056
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Algebra
• Research Institution: Meijo University
• Principal Investigator: KITAOKA Yoshiyuki Meijo University, 理工学部, 教授 (40022686)
• Project Period (FY): 2006 – 2009
• Project Status: Completed (Fiscal Year 2009)
• Budget Amount: ¥2,950,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥450,000); Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2006: ¥1,000,000 (Direct Cost: ¥1,000,000)
• Keywords: 整数論 / 代数体 / 単数 / 分布

Research Abstract

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

Research Products

• [Journal Article] A statistical relation of roots of a polynomial in different local files II, Number Theory : Dreaming in Dreams (2010)
  • 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 fields (2009)
  • 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 theory (2009)
  • Author(s): Y. Kitaoka
  • Journal Title: World Scientific Pages: 39-96
  • Peer Reviewed
• [Journal Article] A statistical relation of roots of a polynomial in different local fields (2009)
  • Author(s): Y. Kitaoka
  • Journal Title: Mathematics of Computation 78 Pages: 523-536
  • Peer Reviewed
• [Journal Article] Distribution of units of a cubic abelian field modulo prime numbers (2006)
  • Author(s): Y. Kitaoka
  • Journal Title: J. Math. Soc. Japan vol58 Pages: 563-584
  • NAID: 10018381452
  • 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
• [Presentation] China-Japan Seminar on number theory (2006)
  • Place of Presentation: Weihai
• [Book] Number Theory(pp.106-126), Series on Number Theory and Its Application Vol 6 (2010)
  • Author(s): Y.Kitaoka
  • Total Pages: 252
  • Publisher: A statistical relation of roots of a polynomial in different local fields II
• [Book] Number Theory (2007)
  • Author(s): Y. Kitaoka
  • Publisher: World Scientific
• [Book] Number Theory(pp39-96) (2007)
  • Author(s): Y. Kitaoka
  • Total Pages: 245
  • Publisher: World Scientific