TANAKA Ryuichi 田中隆一

Researcher Number	10112898
Other IDs
Affiliation (based on the past Project Information) *help	2011: 東京理科大学, 理工学部・数学科, 教授 1997 – 2004: 東京理科大学, 理工学部, 講師 1999: 東京理科大学, 理工学部・数学科, 講師
Review Section/Research Field	Except Principal Investigator Algebra / 解析学 / Algebra
Keywords	Except Principal Investigator 非正則素数 / イデアル類群 / ベルヌイ数 / ideal class group / スティッケルベルガーイデアル / 素数分布 / 正則・非正則素数 / Kummer's formula / Stickelkerger ideal / Stirling numbers … More / Bernoulli numbers / Inkeri matrix / class number formula / cyclotomic field / クンマー合同式 / 岩沢理論 / マイレ行列 / L-関数 / 類数 / 正則素数と非正則素数 / 岩沢の類数公式 / マイレ行列とインケリ行列 / 相対類数 / クンマーの公式 / ステッケルベルガーイデアル / スターリング数 / インケリ行列 / 類数公式 / 円分体 / sieve method / distribution of primes / zeta function / regular・irregular prime / Bermoulli number / Class number and unit / Stickelberger ideal / 素数計数関数 / ゾフィジェルマン素数 / 素数定理 / ベルトランド仮説 / ふるい法 / ゼータ関数 / 類数と単数 / スティケルベルガーイデアル / Schur-Weyl reciprocity / Hall-Littlewood / Green / Hecke / Ariki-Koike algebras / representation theory / Complex reflection group / finite Cheralley group / 指標層 / Character table / 巡回Hecke環 / 長さ関数 / canonical basis / Kazhdan-Luszfig basis / 代数群の表現論 / Frobenius formula / 複数鏡映群 / Schur-Weylの相互律 / Hall-Littlewood関数 / Green関数 / Hecke環 / Ariki-Koike algebra / 表現論 / 複素鏡映群 / 有限Chevalley群 / 調和写像 / 差分法 / 変分法 / Harmonic Maps / Discretization / Variational Method / 高速計算アルゴリズム / 代数本の類数 / 代数体の類数 Less

A study of Bernoulli numbers and the distribution of irregular primes
- Principal Investigator
  
  AGOH Takashi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Research on class numbers of cyclotomic fields and properties of Bernoulli numbers
- Principal Investigator
  
  AGOH Takashi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO UNIVERSITY OF SCIENCE
Resarch on ideal class groups and the distribution of primes
- Principal Investigator
  
  TAKASHI Agoh
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Representation theory of finite algebraic groups
- Principal Investigator
  
  SHOJI Toshiaki
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  SCIENCE UNIV.OF TOKYO
Research of Nonlinear Partial Differential Equations Using Variational Methods and Time-discretization Schemes (1999)
- Principal Investigator
  
  TACHIKAWA Atsushi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Science University of Tokyo

All 2012 2010 2009 2003 Other

All Journal Article

[Journal Article] A Borsuk-Ulam type theorem over iterated suspensions of real projective spaces2012
- Author(s)
  R. Tanaka
- Journal Title
  
  J. of Korean Math. Soc.
  
  Volume: Vol.49, no.2 Pages: 251-263
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540026
[Journal Article] On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspension spaces2010
- Author(s)
  R. Tanaka
- Journal Title
  
  Homology, Homotopy and Appl.
  
  Volume: Vol.12, no.1 Pages: 357-366
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540026
[Journal Article] A Borsuk-Ulam type theorem for sphere bundles over stunted projective spaces2009
- Author(s)
  R. Tanaka
- Journal Title
  
  Topology and its Appl.
  
  Volume: Vol.156, no.5 Pages: 932-938
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540026
[Journal Article] On the index and co-index of sphere bundles2003
- Author(s)
  Tanaka, Ryuichi
- Journal Title
  
  Kyushu J.of Mathematics 57
  
  Pages: 371-382
- NAID
  110001263484
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540044
[Journal Article] On the index and co-index of sphere bundles2003
- Author(s)
  Ryuichi Tanaka
- Journal Title
  
  Kyushu J.of Mathematics 57
  
  Pages: 371-382
- NAID
  110001263484
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540044
[Journal Article] On the stability of co-index of sphere bundles
- Author(s)
  Ryuichi Tanaka
- Journal Title
  
  Kyushu J.of math. (to appear)
- NAID
  110006241300
- Data Source
  KAKENHI-PROJECT-14540044

1. AGOH Takashi (60112893)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. KOBAYASHI Takao (90178319)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. HOSOH Toshio (30130339)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. SHOJI Toshiaki (40120191)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. HAMAHATA Yoshinori (90260645)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. TAMIO Hara (10120205)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. HACHIMORI Yoshitaka (50433743)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. TACHIKAWA Atsushi (50188257)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TAMIYA Takanori (60183472)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. NAGASAWA Takeyuki (70202223)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KOTANI Kouichi (80183341)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. ARIKI Susumu (40212641)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SHINODA Ken-ichi (20053712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 大森英樹 (20087018)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TANAKA Ryuichi 田中 隆一

Research Projects

Research Products

Co-Researchers

A study of Bernoulli numbers and the distribution of irregular primes

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on class numbers of cyclotomic fields and properties of Bernoulli numbers

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Resarch on ideal class groups and the distribution of primes

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Representation theory of finite algebraic groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research of Nonlinear Partial Differential Equations Using Variational Methods and Time-discretization Schemes (1999)

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A Borsuk-Ulam type theorem over iterated suspensions of real projective spaces2012

Author(s)

Journal Title

Data Source

[Journal Article] On trivialities of Stiefel-Whitney classes of vector bundles over iterated suspension spaces2010

Author(s)

Journal Title

Data Source

[Journal Article] A Borsuk-Ulam type theorem for sphere bundles over stunted projective spaces2009

Author(s)

Journal Title

Data Source

[Journal Article] On the index and co-index of sphere bundles2003

Author(s)

Journal Title

NAID

Description

Data Source

[Journal Article] On the index and co-index of sphere bundles2003

Author(s)

Journal Title

NAID

Description

Data Source

[Journal Article] On the stability of co-index of sphere bundles

Author(s)

Journal Title

NAID

Data Source

TANAKA Ryuichi 田中隆一