Researcher Directory | Aichi University of Education.


detailes

Kishi Yasuhiro

  • Faculty:Department of Mathematics EducationPosition:Associate Professor
  • Address:1 Hirosawa,Igaya-cho,Kariya-shi,Aichi
  • TEL:+81-566-26-2614FAX:+81-566-26-2310
  • E-mail address:ykishiauecc.aichi-edu.ac.jp
  • Web site:http://auemath.aichi-edu.ac.jp/~ykishi/indexE.html
Modified:05/14/2019

Profile

Assigned Class

  • Natural Sciences

Research Field

  • Algebra
  • Keywords:number theory

Current Subject

  • Continued fractions and real quadratic fields
    Keywords:real quadratic field , continued fraction , 2010-
  • Structure of ideal class groups of algebraic number fields
    Keywords:algebraic number field , ideal class group , class number , 1996-

Academic Societies

Academic Societies
  • Mathematical Society of Japan

Academic Background

Graduate School
  • Tokyo Metropolitan University , (Doctor course , Mathematics , Graduate School, Division of Natural Science) , 1999(Completed)
  • Tokyo Metropolitan University , (Master's course , Mathematics , Graduate School, Division of Natural Science) , 1996(Completed)
College
  • Shinshu University , (Department of Mathematics , Faculty of Science) , 1994(Graduated)
Degree
  • Doctor (Science) , Tokyo Metropolitan University

Research Career

Research Career
  • 2011 - , Aichi University of Education (Associate professor)
  • 2005 - 2011 , Fukuoka University of Education (Associate professor)
  • 2004 - 2005 , Fukuoka University of Education (Lecturer)
  • 2001 - 2004 , JSPS Research Fellow

Research

Books, Articles, etc.

Articles
  • Fuminori Kawamoto, Yasuhiro Kishi, Hiroshi Suzuki and Koshi Tomita
    Real quadratic fields, continued fraction expansions, and a construction of primary symmetric parts of ELE type
    Kyushu Journal of Mathematics, 73(1):165-187, 2019
  • Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi and Prem P. Pandey
    Divisibility of the class numbers of imaginary quadratic fields
    Journal of Number Theory, 185:339-348, 2018
  • Kwang-Seob Kim and Yasuhiro Kishi
    A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields
    Mathematical Journal of Okayama University, 59:113-116, 2017
  • Yasuhiro Kishi and Toru Komatsu
    Imaginary quadratic fields whose ideal class groups have 3-rank at least three
    Journal of Number Theory, 170:46-54, 2017
  • Miho Aoki and Yasuhiro Kishi
    An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five
    Journal of Number Theory, 176:333-343, 2017
  • Fuminori Kawamoto, Yasuhiro Kishi and Koshi Tomita
    Continued fraction expansions with even period and primary symmetric parts with extremely large end
    Commentarii Mathematici Universitatis Sancti Pauli, 64(2):131-155, 2015
  • Miho Aoki and Yasuhiro Kishi
    On systems of fundamental units of certain quartic fields
    International Journal of Number Theory, 11(7):2019-2035, 2015
  • Yasuhiro Kishi, Sayaka Tajiri and Ken-ichiro Yoshizuka
    On positive integers of minimal type concerned with the continued fraction expansion
    Mathematical Journal of Okayama University, 56:35-50, 2014
  • Fuminori Kawamoto, Yasuhiro Kishi and Koshi Tomita
    Construction of positive integers with even period of minimal type
    Proc. Japan Acad. Ser. A Math. Sci., 90(2):27-32, 2014
  • Yasuhiro Kishi
    On the 3-rank of the ideal class group of quadratic fields
    Kodai Mathematical Journal, 36(2):275-283, 2013
  • Yasuhiro Kishi
    Imaginary cyclic fields of degree p-1 whose ideal class groups have p-rank at least two
    Publicationes Mathematicae Debrecen, 81(3-4):447-452, 2012
  • Yasuhiro Kishi
    On the ideal class group of certain quadratic fields
    Glasgow Mathematical Journal, 52(3):575-581, 2010
  • Yasuhiro Kishi
    Note on the divisibility of the class number of certain imaginary quadratic fields
    Glasgow Mathematical Journal, 51(1):187-191, 2009
  • Yasuhiro Kishi
    A new family of imaginary quadratic fields whose class number is divisible by five
    Journal of Number Theory, 128(8):2450-2458, 2008
  • Shin-ichi Katayama and Yasuhiro Kishi
    Infinite family of imaginary cyclic fields of degree p-1 with the p-rank of the ideal class groups of at least two
    Tsinghua Science and Technology, 12(4):475-478, 2007
  • Yasuhiro Kishi
    The Spiegelungssatz for p=5 from a constructive approach
    Mathematical Journal of Okayama University, 47:1-27, 2005
  • Masafumi Imaoka and Yasuhiro Kishi
    On dihedral extensions and Frobenius extensions
    Galois theory and modular forms (Developments in mathematics v. 11), Kluwer Academic Publishers, :195-220, 2004
  • Yasuhiro Kishi
    On the Sylow p-subgroups of the ideal class groups of some imaginary cyclic fields of degree p-1
    Tokyo Journal of Mathematics, 27(2):481-491, 2004
  • Yasuhiro Kishi
    A family of cyclic cubic polynomials whose roots are system of fundamental units
    Journal of Number Theory, 102(1):90-106, 2003
  • Yasuhiro Kishi
    A note on the 3-rank of quadratic fields
    Archiv der Mathematik, 81(5):520-523, 2003
  • Yasuhiro Kishi
    Imaginary cyclic fields of degree p-1 whose relative class numbers are divisible by p
    Proc. Japan Acad. Ser. A Math. Sci., 77(4):55-58, 2001
  • Yasuhiro Kishi and Katsuya Miyake
    Parametrization of the quadratic fields whose class numbers are divisible by three
    Journal of Number Theory, 80(2):209-217, 2000
  • Yasuhiro Kishi
    A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo (3)2 in quadratic fields
    Journal of Number Theory, 83(1):1-49, 2000
  • Yasuhiro Kishi
    A criterion for a certain type of imaginary quadratic fields to have 3-ranks of the ideal class groups greater than one
    Proc. Japan Acad. Ser. A Math. Sci., 74(6):93-97, 1998

Research Grants

Grants-in-Aid for Scientific Research(Research representative)
  • 2015 - 2018 , 連分数を用いた実二次体の研究 , 基盤研究(C)
  • 2011 - 2013 , 不定方程式及び生成多項式を用いた代数体のイデアル類群の研究 , 基盤研究(C)
  • 2001 - 2003 , 代数体のイデアル類群の類数 , 特別研究員奨励費
Grants-in-Aid for Scientific Research(Those who allot it)
  • 2007 - 2007 , 生成多項式に基づく数論の展開 , 基盤研究(C)
President discretionary expenses / Priority educational expenses
  • 2014 - 2014 , 不定方程式及び生成多項式によるイデアル類群の研究
  • 2005 - 2005 , パラメトリックなD7-多項式の構成における計算機システムの構築
Other
  • 2018 - 2019 , 連分数によるイデアル類群の構造解析 , 豊秋奨学会海外渡航旅費助成

Education

Thesis Guidance

  • 2018, Graduation thesis Total:2
  • 2017, Graduation thesis Total:4
  • 2016, Graduation thesis Total:5
  • 2015, Graduation thesis Total:6, Master's thesis Total:1
  • 2014, Graduation thesis Total:7
  • 2013, Graduation thesis Total:4
  • 2012, Graduation thesis Total:7

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