FUKUDA Takashi 福田隆

Researcher Number	00181272
Other IDs
Affiliation (based on the past Project Information) *help	2002 – 2005: 日本大学, 生産工学部, 助教授
Review Section/Research Field	Except Principal Investigator Algebra / Algebra
Keywords	Except Principal Investigator Python / NZMATH / SIMATH / JANT / 楕円曲線 / 暗号理論 / 数論システム / 数論アルゴリズム / system for number theory / cryptologic research … More / algorithmic number theory / 量子公開鍵暗号 / Gaussian Periods / Meta abelian Group / Cyclic Polynomial / Noether's Problem / Generic Polynomial / Inverse Galois Problems / Galois Group / Galois Theory / Generic Polynomials / Stable derivarion algebra / Abelian surface / Modular forms / Z_p extension / Inverse Galois problem / Generic polynomials / Galois theory / ガウス周期 / メタアーベル群 / 巡回多項式 / ネーターの問題 / 生成的多項式 / ガロア逆問題 / ガロア群 / ガロア理論 / Elliptic Curves / Cryptology / Systems for Number Theory / Number Theoretic Algorithms / 多国籍 / 国際研究者交流 / 楕円曲線暗号 / 計算機実験 / 円楕円法CEM / 64ビット / 加法鎖 Less

Development of a system for number theory by script language and related research on algorithmic number theory
- Principal Investigator
  
  NAKAMURA Ken
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Construction of Generic Polynomials in Galois Theory and application to Number Theory
- Principal Investigator
  
  HASHIMOTO Kiichiro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Study on Number Theoretic Algorithms and Developments of Systems for Number Theory
- Principal Investigator
  
  NAKAMULA Ken
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University

All 2006 2005 2004

All Journal Article Presentation

[Journal Article] On Iwasawa lamda-invariant of cyclotomic Z2-extension of a real quadratic field2005
- Author(s)
  Takashi Fukuda, Keiichi Komatsu
- Journal Title
  
  Tokyo J.Math. 28-1
  
  Pages: 259-264
- Data Source
  KAKENHI-PROJECT-15340015
[Journal Article] On the Iwasawa $lambda$-invariant of the cyclotomic $Z_2$-extens ion of a real quadratic field2005
- Author(s)
  T.Fukuda et al.
- Journal Title
  
  Tokyo J.Math. 28(1)
  
  Pages: 259-264
- Data Source
  KAKENHI-PROJECT-16340011
[Journal Article] $Z_p$-extensions associated to elliptic curves with complex multiplication2004
- Author(s)
  T.Fukuda et al.
- Journal Title
  
  Math.Proc.Cambridge Phil.Soc. 11-137
  
  Pages: 541-550
- Data Source
  KAKENHI-PROJECT-16340011
[Journal Article] Zp-extension associated to elliptic curves with complex multiplication2004
- Author(s)
  Takashi, Fukuda, Keiichi Komatsu
- Journal Title
  
  Math.Proc.Camb.Phil.Soc. 137
- Data Source
  KAKENHI-PROJECT-15340015
[Presentation] TC-An interpreter of multi-precision C language2006
- Author(s)
  Takashi Fukuda
- Organizer
  第2回International Congress of Mathematical Software
- Place of Presentation
  Castro Urdiales
- Year and Date
  2006-09-03
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340011
[Presentation] An Algorithm for Computing $p$-Class Groups of Abelian Number Fields2006
- Author(s)
  Miho Aoki, Takashi Fukuda
- Organizer
  第7回Algorithmic Number Theory Symposium
- Place of Presentation
  Berlin
- Year and Date
  2006-07-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340011
[Presentation] Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo$2'n$2005
- Author(s)
  Takashi Fukuda, Naoki Kanayama, Keiichi Komatsu
- Organizer
  第24回Journ\'{e}e Arithm\'{e}tique
- Place of Presentation
  Marseilles
- Year and Date
  2005-07-05
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340011
[Presentation] イデアル類群の計算アルゴリズムと実際の計算2005
- Author(s)
  福田隆
- Organizer
  日本応用数理学会年会オーガナイズドセッション
- Place of Presentation
  東北大
- Year and Date
  2005-09-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340011
[Presentation] テータ関数の特殊値にあらわれる素因子について2004
- Author(s)
  金山直樹, 小松啓一, 福田隆
- Organizer
  代数的整数論とその周辺研究集会
- Place of Presentation
  京都大数理研
- Year and Date
  2004-12-06
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16340011

1. NAKAMULA Ken (80110849)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. NAGAO Koh-ichi (00308321)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. TSUMURA Hirofumi (20310419)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. KIDA Masanari (20272057)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. KURATA Toshihiko (40311899)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. HASHIMOTO Kiichiro (90143370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. KOMATSU Keiichi (80092550)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
8. MURAKAMI Jun (90157751)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. UCHIYAMA Shigenori (40433172)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. SUZUKI Toshio (30235973)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 横山和弘 (30333454)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 福永力 (00189961)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 松野一夫 (40332936)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 栗原将人 (40211221)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 徳永浩雄 (30211395)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. OKAMOTO Tatsuaki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

FUKUDA Takashi 福田 隆

Research Projects

Research Products

Co-Researchers

Development of a system for number theory by script language and related research on algorithmic number theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of Generic Polynomials in Galois Theory and application to Number Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study on Number Theoretic Algorithms and Developments of Systems for Number Theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On Iwasawa lamda-invariant of cyclotomic Z2-extension of a real quadratic field2005

Author(s)

Journal Title

Data Source

[Journal Article] On the Iwasawa $lambda$-invariant of the cyclotomic $Z_2$-extens ion of a real quadratic field2005

Author(s)

Journal Title

Data Source

[Journal Article] $Z_p$-extensions associated to elliptic curves with complex multiplication2004

Author(s)

Journal Title

Data Source

[Journal Article] Zp-extension associated to elliptic curves with complex multiplication2004

Author(s)

Journal Title

Data Source

[Presentation] TC-An interpreter of multi-precision C language2006

Author(s)

Organizer

Place of Presentation

Year and Date

Description

Data Source

[Presentation] An Algorithm for Computing $p$-Class Groups of Abelian Number Fields2006

Author(s)

Organizer

Place of Presentation

Year and Date

Description

Data Source

[Presentation] Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo$2'n$2005

Author(s)

Organizer

Place of Presentation

Year and Date

Description

Data Source

[Presentation] イデアル類群の計算アルゴリズムと実際の計算2005

Author(s)

Organizer

Place of Presentation

Year and Date

Description

Data Source

[Presentation] テータ関数の特殊値にあらわれる素因子について2004

Author(s)

Organizer

Place of Presentation

Year and Date

Description

Data Source

FUKUDA Takashi 福田隆