Murabayashi Naoki 村林直樹

… Alternative Names

MURABAYASHI Naoki 村林直樹

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Researcher Number	80261676
Other IDs
Affiliation (Current)	2023: 関西大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help	1995 – 2006: 山形大学, 理学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / 計算機科学 / Geometry / Algebra
Keywords	Principal Investigator アーベル多様体 / 虚数乗法論 / モジュライの体 / ゼータ関数 / 四元数乗法 / モジュラー性 / Hasse-Weilゼータ関数 / QM型アーベル曲面 / 」GL_2-typeのアーベル多様体 / 志村曲線 … More / データ関数 / テータ関数 / KP方程式 / チータ関数 … More Except Principal Investigator 符号のヤコビ多項式 / ジーゲル保型形式 / 複素鏡映群 / 被覆半径 / 格子 / lattice / 符号の被覆半径 / アソシエーション・スキーム / 不変多項式環 / ジーゲル・ヤコビ形式 / 有限複素鏡映群 / 同時不変多項式環 / カッツムーディ環 / 暗号 / 対称暗号 / トラップドア(落し戸) / 有限群 / 公開鍵暗号 / 有限体 / GAP / 2元符号 / 3元符号 / コセット重み分布 / ヤコビ多項式 / 不変式環 / binary codes / ternary codes / the covering radius / coset weight distributions / Jacobi polynomials of codes / 非コンパクト変換群 / カオス写像 / バナッハ束 / 暗号理論 / アーベル多様体 / 結び目理論 / アダマール多様体 / 複素構造 / カオス力学系 / カントール集合 / 周期結び目 / transformation groups / non-compact Lie group / maximal compact subgroup / chaotic dynamical systems / symplectic structure / computational quantity / knot / harmonic maps / 符号理論 / ヤコビ形式 / 保型形式 / Coding theory / Jacobi form / Siegel modular forms / 符号 / 多重重み枚挙多項式 / 二次形式 / Code / multiple weight enumerator / Siegel modular form Less

Coding theory, the invariant theory for the finite fractional linear transformation groups and their applications to the number theory
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
虚数乗法論とKP方程式の関連についてPrincipal Investigator
- Principal Investigator
  
  村林直樹
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
A study of the interacting area among the theory of quadratic forms and the theory of modular forms and the algebraic coding theory
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Research on transformation groups from the topological viewpoint and research on related topics
- Principal Investigator
  
  UCHIDA Fuichi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Yamagata University
暗号系に現れる群構造について
- Principal Investigator
  
  澤田秀樹
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  計算機科学
- Research Institution
  Yamagata University
QM型マーベル曲面のHasse-Weil ゼータ関数についてPrincipal Investigator
- Principal Investigator
  
  村林直樹
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Algebraic Coding Theory and the related studies of algebraic, geometric and analytic natures
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Faculty of Science, Yamagata University
有限複素鏡映群の不変式論,ジーゲル保型形式とカッツムーディ環との関連の研究
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Yamagata University
有限体上の符号の被覆半径と格子群の被覆半径の決定問題
- Principal Investigator
  
  OZEKI Michio
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Yamagata University
代数的符号理論と多変数の保型形式
- Principal Investigator
  
  小関道夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
有理数体上定義されたCM型アーベル曲面の分類Principal Investigator
- Principal Investigator
  
  村林直樹
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University

All 2005 2004 Other

All Journal Article

[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005
- Author(s)
  Naoki Murabayashi
- Journal Title
  
  Journal of Number Theory 112
  
  Pages: 116-188
- Data Source
  KAKENHI-PROJECT-15654001
[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005
- Author(s)
  N.Murabayashi
- Journal Title
  
  Journal of Number Theory Vol.112
  
  Pages: 116-188
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005
- Author(s)
  N.Murabayashi
- Journal Title
  
  Journal of Number Theory 112
  
  Pages: 116-188
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] On the field of definition for modularity of CM elliptic curves2004
- Author(s)
  Naoki Murabayashi
- Journal Title
  
  Journal of Number Theory 108
  
  Pages: 268-286
- Data Source
  KAKENHI-PROJECT-15654001
[Journal Article] On the field of definition for modularity of CM elliptic curves.2004
- Author(s)
  N.Murabayashi
- Journal Title
  
  J.Number Theory 108
  
  Pages: 268-286
- Data Source
  KAKENHI-PROJECT-14540004
[Journal Article] Madularity of CM elliptic curves over division fields.
- Author(s)
  Naoki Murabayashi
- Journal Title
  
  J. Number Theory (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540006
[Journal Article] Modularity of CM elliptic curves over division fields.
- Author(s)
  Naoki Murabayashi
- Journal Title
  
  J.Number Theory (to appear)
- Data Source
  KAKENHI-PROJECT-17540006
[Journal Article] Modularity of CM type elliptic curves over division fields
- Author(s)
  Naoki Murabayashi
- Journal Title
  
  J.Number Th. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540006

1. SAWADA Hideki (30095856)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. OZEKI Michio (90087073)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. HARADA Masaaki (90292408)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. 木田雅成 (20272057)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. UCHIDA Fuichi (90028126)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
6. UENO Keisuke (10250911)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 渡辺伸一 (40007175)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NISHIMURA Takuji (90333947)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. UCHIDA Yoshiaki (80280890)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. II Kiyotaka (10007180)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. KITAZUME Masaaki (60204898)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 梅垣敦紀 (60329109)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SANO Takashi (20250912)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 尾方隆司 (10042425)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 大池宏清 (20007165)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 鹿野健 (90020669)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 平松豊一 (40029674)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 平吹慎吉 (70007136)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. KAWAMURA Shinzo (50007176)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. MUNEMASA Akihiro (50219862)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. BANNAI Eiichi (10011652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Murabayashi Naoki 村林 直樹

MURABAYASHI Naoki 村林 直樹

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虚数乗法論とKP方程式の関連についてPrincipal Investigator

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QM型マーベル曲面のHasse-Weil ゼータ関数についてPrincipal Investigator

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有理数体上定義されたCM型アーベル曲面の分類Principal Investigator

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[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

Author(s)

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Data Source

[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] On QM-abelian surfaces with model of GL_2-type over Q2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] On the field of definition for modularity of CM elliptic curves2004

Author(s)

Journal Title

Data Source

[Journal Article] On the field of definition for modularity of CM elliptic curves.2004

Murabayashi Naoki 村林直樹

MURABAYASHI Naoki 村林直樹