HIRABAYASHI Mikihito 平林幹人

… Alternative Names

平林幹人ヒラバヤシミキヒト

Less

Researcher Number	20167612
Other IDs
External Links
Affiliation (based on the past Project Information) *help	2010 – 2013: 金沢工業大学, 基礎教育部, 教授 2005 – 2007: Kanazawa Institute of Technology, Academic Foundations Programs, Professor, 基礎教育部, 教授 2002 – 2004: 金沢工業大学, 工学部, 教授 1992 – 1994: 金沢工業大学, 工学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Science education / Algebra / 代数学・幾何学
Keywords	Principal Investigator 虚アーベル体 / 相対類数 / Maillet determinant / relative class number formula / relative class number / imaginary abelian number field / Maillet行列式 / 相対類数公式 / cyclotomic field / Demjanenko determinant … More / Newman行列式 / 円分体 / Demjanenko行列式 / Stickelberger elemenent / Dedekind sums / Inkeri's determi-nant / Dem'janenko determinant / 行列式 / Dem'janenko行列 / Stickelberger元 / Inkeriの行列式 / Dedekind和 / Dem'janenko行列式 / 単数指数 … More Except Principal Investigator 不分岐拡大 / 類数 / ガロアの逆問題 / 埋め込み問題 / イデアル類群 / 類体塔 / inverse Galois problem / unramified extension / embedding problem / 代数学 / 分岐 / class field tower / ramification / 3次巡回体 / 最大不分岐3拡大 / ヒルベルト類体 / class number / 類体論 / Improvement Teaching Material / Logical Expressing Ability / Logical Thinking Ability / Fundamental Scholarship / Problem Solving Ability / Mathematics and Science Education / 教材改善 / 論理的表現力 / 論理的思考力 / 基礎学力 / 問題解決能力 / 数理教育 / 代数体の埋め込み問題 / 自由分解 / Stanley-Reisner環 / Ehrhart series / フィルタ / ディジタル信号 / 剰余類環の直積分析 Less

Research of the inverse Galois problems with restricted ramifications and their applications to the class field tower problems
- Principal Investigator
  
  NOMURA Akito
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Research of the inverse Galois problems with restricted ramifications and their applications
- Principal Investigator
  
  NOMURA Akito
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Unramified Solutions of Inverse Galois Problems and their Applications
- Principal Investigator
  
  NOMURA Akito
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Research on Relative Class Number of an Imaginary Abelian Number Field by Means of DeterminantPrincipal Investigator
- Principal Investigator
  
  HIRABAYASHI Mikihito
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa Institute of Technology
Unramified Solutions of Inverse Galois Problems and their Applications to the Class Field Tower Problems
- Principal Investigator
  
  NOMURA Akito
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KANAZAWA UNIVERSITY
Expression of the Relative Class Number of an Imagianry Abelian Number Field by Means of DeterminantPrincipal Investigator
- Principal Investigator
  
  HIRABAYASHI Mikihito
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa Institute of Technology
Mathematics and Science Education for Improvement of Student's Logical Thinking Power
- Principal Investigator
  
  FUKUSHIMA Kunio
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Science education
- Research Institution
  Kanazawa Institute of Technology
組合せ論を用いた可換環論の研究
- Principal Investigator
  
  小山陽一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa Institute of Technology
虚アーベル体の単数指数の研究Principal Investigator
- Principal Investigator
  
  平林幹人
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa Institute of Technology
整数論のディジタル信号処理への応用に関する研究
- Principal Investigator
  
  YAMANO Gosuke
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kanazawa Institute of Technology

All 2015 2014 2012 2009 2008 2007 2005 2004 Other

All Journal Article Presentation

[Journal Article] A generalization of Jakubec's formula2015
- Author(s)
  Hirabayashi Mikihito
- Journal Title
  
  Mathematica Slovaca
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540010
[Journal Article] Introduction to Hasse's book「uber die Klassenzahl abelscher Zahlkorper」2009
- Author(s)
  平林幹人
- Journal Title
  
  北陸数論研究集会報告集 7
  
  Pages: 1-45
- Data Source
  KAKENHI-PROJECT-20540013
[Journal Article] A generalization of Newman's formula2008
- Author(s)
  平林幹人
- Journal Title
  
  Arch.Math. 90
  
  Pages: 223-229
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540013
[Journal Article] A determinant fomrula for the quotient of the relative class numbers of imaginary abelian number fields of relative degree 22007
- Author(s)
  M. Hirabayashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu 4
  
  Pages: 21-33
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540022
[Journal Article] A determinant fomrula for the quotient of the relative class numbers of imaginary abelian number fields of relative degree 22007
- Author(s)
  M. Hirabayashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu vol.4
  
  Pages: 21-33
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540022
[Journal Article] Multiple Dedekind Sums and Relative Class Number Formulae2005
- Author(s)
  Mikihito Hirabayashi, Hirofumi Tsumura
- Journal Title
  
  Mathemtische Nachrichten 278・14
  
  Pages: 1673-1680
- Data Source
  KAKENHI-PROJECT-17540047
[Journal Article] Generalizations of Girstmair's Formulas2005
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Abh.Math.Sem.Univ.Hamburg vol.75
  
  Pages: 83-95
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] Multiple Dedekind sums and relative class number formulae2005
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Math.Nachr. vol.278
  
  Pages: 1673-1680
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] Generalizations of Girstmair's Formulas2005
- Author(s)
  Mikihito Hirabayashi
- Journal Title
  
  Abh. Math. Sem. Univ. Hamburg 75
  
  Pages: 83-95
- Data Source
  KAKENHI-PROJECT-17540047
[Journal Article] Generalizations of Girstmair's Formulas2005
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Abh.Math.Sem.Univ.Hamburg 75
  
  Pages: 83-95
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] Multiple Dedekind sums and relative class number formulae2005
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Math.Nachr. 278・No.14
  
  Pages: 1673-1680
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] Multiple Dedekind sums and relative class number formulae2005
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Math.Nachr. 278・14
  
  Pages: 1673-1680
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] A formula of Girstmair and a remark on the relative class number formula2004
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Proc.of the 2003 Nagoya Conf. : Yokoi-Chowla Conjecture and related Problems
  
  Pages: 11-24
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] A formula of Girstmair and a remark on the relative class number formula2004
- Author(s)
  M.Hirabayashi
- Journal Title
  
  Proc.Of the 2003 Nagoya Conf. : Yokoi-Chowla Conjecture and related problems
  
  Pages: 11-24
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540017
[Journal Article] A generalization of Newman's formula
- Author(s)
  M. Hirabayashi
- Journal Title
  
  Arch.Math (印刷中)(掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540022
[Journal Article] A generalization of Jakubec's formula
- Author(s)
  Hirabayashi Mikihito
- Journal Title
  
  Mathematica Slovaca
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540010
[Journal Article] A generalization of Newman's formula
- Author(s)
  M. Hirabayashi
- Journal Title
  
  Arch. Math (in press)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540022
[Journal Article] A generalization of Newman's formula
- Author(s)
  M. Hirabayashi
- Journal Title
  
  Arch. Math. (印刷中)
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540022
[Presentation] Hasse の方法による虚アーベル体の相対類数公式についてのいくつかの注意2014
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ, 金沢市
- Year and Date
  2014-05-01
- Data Source
  KAKENHI-PROJECT-23540010
[Presentation] Jakubecによるp 分体の相対類数公式の一般化2012
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ, 金沢市
- Year and Date
  2012-11-08
- Data Source
  KAKENHI-PROJECT-23540010
[Presentation] Hasseの第二変形法による虚アーベル体の相対類数公式とJakubecの論文の紹介2012
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ, 金沢市
- Year and Date
  2012-04-26
- Data Source
  KAKENHI-PROJECT-23540010
[Presentation] Hasseの本「アーベル体の類数について」の紹介2009
- Author(s)
  平林幹人
- Organizer
  第7回北陸数論研究集会
- Place of Presentation
  金沢大学サテライトプラザ(石川県)
- Year and Date
  2009-12-26
- Data Source
  KAKENHI-PROJECT-20540013
[Presentation] 虚2次体の合併体の単数指数の決定法について2009
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ(石川県)
- Year and Date
  2009-04-23
- Data Source
  KAKENHI-PROJECT-20540013
[Presentation] A generalization of Newman's formula2008
- Author(s)
  M. Hirabayashi
- Organizer
  MSJ meetings
- Place of Presentation
  Kinki University
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-18540022
[Presentation] Newmanの公式の一般化2008
- Author(s)
  M. Hirabayashi
- Organizer
  日本数学会年会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-23
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-18540022
[Presentation] Hasseの第二変形法による虚アーベル体の相対類数公式とJakubecの論文の紹介
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ
- Data Source
  KAKENHI-PROJECT-23540010
[Presentation] Jakubecによるp分体の相対類数公式の一般化
- Author(s)
  平林幹人
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ
- Data Source
  KAKENHI-PROJECT-23540010

1. YAMANO Gosuke (50064465)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. NOMURA Akito (00313700)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. ITO Tatsuro (90015909)

# of Collaborated Projects: 4 results

# of Collaborated Products: 2 results
4. KIMURA Iwao (10313587)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 小山陽一 (10153701)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. 石井晃 (70064475)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 松岡史和 (10064461)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 澤田泰明 (80064442)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. YAMADA Mieko (70130226)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. FUKUSHIMA Kunio (20064446)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. MISHIMA Akiomi (30064463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. AOKI Katsuhiko (80329367)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. KOUKAME Hisashi (70298321)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. NAKADA Kiyoto (90172337)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. FUJISAKI Hiroshi (80304757)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 村上秀男 (90113034)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

HIRABAYASHI Mikihito 平林 幹人

平林 幹人 ヒラバヤシ ミキヒト

Research Projects

Research Products

Co-Researchers

Research of the inverse Galois problems with restricted ramifications and their applications to the class field tower problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of the inverse Galois problems with restricted ramifications and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Unramified Solutions of Inverse Galois Problems and their Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on Relative Class Number of an Imaginary Abelian Number Field by Means of DeterminantPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Unramified Solutions of Inverse Galois Problems and their Applications to the Class Field Tower Problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Expression of the Relative Class Number of an Imagianry Abelian Number Field by Means of DeterminantPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematics and Science Education for Improvement of Student's Logical Thinking Power

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

組合せ論を用いた可換環論の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

虚アーベル体の単数指数の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

整数論のディジタル信号処理への応用に関する研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A generalization of Jakubec's formula2015

Author(s)

Journal Title

Data Source

[Journal Article] Introduction to Hasse's book「uber die Klassenzahl abelscher Zahlkorper」2009

Author(s)

Journal Title

Data Source

[Journal Article] A generalization of Newman's formula2008

Author(s)

Journal Title

Data Source

[Journal Article] A determinant fomrula for the quotient of the relative class numbers of imaginary abelian number fields of relative degree 22007

Author(s)

Journal Title

HIRABAYASHI Mikihito 平林幹人

平林幹人ヒラバヤシミキヒト