TAYA Hisao 田谷久雄

… Alternative Names

田谷久雄タヤヒサオ

Less

Researcher Number	40257241
Other IDs
External Links
Affiliation (Current)	2023: 宮城教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2007 – 2008: 宮城教育大学, 教育学部, 准教授 2006: Tohoku University, Graduate School of InformationSciences, Research Associate, 大学院情報科学研究科, 助手 2004 – 2006: 東北大学, 情報科学研究科, 助手 1996 – 2005: 東北大学, 大学院・情報科学研究科, 助手 1993: 早稲田大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Basic analysis / Algebra
Keywords	Principal Investigator 岩澤不変量 / Greenberg予想 / イデアル類群 / p進L関数 / 岩澤加群 / 岩澤理論 / p進ゼータ関数 / Z_p拡大 / 実アーベル体 / 円分Z_p拡大 … More / P進L関数 / P進ゼータ関数 / Zp拡大体 / 代数体 / 類数 / Zp拡大 / 自然密度 / アーベル拡大 / 中心拡大 / アーベル体 / 組合せ構造 / アルゴリズム / 格子 / デザイン / 局所体 / algebraic number fields / class numbers / ideal class groups / Iwasawa invariants / Zp-extensions / natural density / abelian extensions / central extensions … More Except Principal Investigator グラフ理論 / Heegaard splitting / Dehn surgery / 岩澤不変量 / Hecke環 / 四元数環 / Brandt行列 / 保型形式 / theta級数 / Eichler order / L-関数 / 代数群 / 応用数学 / 代数的組合せ論 / 符号理論 / 離散幾何 / 組合せデザイン理論 / 置換群論 / 代数的符号理論 / 自己双対符号 / 有限体 / 格子 / 組合せデザイン / 国際情報交換 / ブルガリア : オランダ / リー変換群 / 非コンパクト群 / 固定点 / 4次元球面 / 2次特殊複素線形群 / 2次特殊復素線形群 / Lie transformation group / non-compact group / fixed point / four dimensional sphere / complex special linear group / グラフの調和写像 / 離散ラプラシアン / 非斉次ヤング・ミルズ方程式 / アインシュタイン・ワイル幾何学 / 総実代数体 / ラムダ不変量 / デーン手術 / ヘゴール分解 / CR manifold / pseudoharmonic map / Yang-Mills theory / Einstein-Weyl geometry / Greenberg's conjecture / P-class number / 無限グラフ / スペクトル / グリーン核 / 熱核 / Z_P拡大 / Greenberg予想 / Harmonic morphism of graph / Discrete Laplacian / Inhomogeneous Yang-Mills equation / Einstein-Wey1 geometry / Totally real field / Lambda invariant / ハーディー空間 / 直交最大関数 / 非接最大関数 / グランド最大関数 / オルリッツ・ノルム / コーシー・リーマン方程式 / クレイ・ゴードン方程式 / ポアソン積分 / ハーディー空関 / オルリッツ空間 / コーシー・リーマンの方程式 / クレイン・ゴードン方程式 / 渦度方程式 / 直行最大関数 / 振動レイマン境界条件 / 疑似直交基 / 疑似双直交基 / Hardy space / vertical maximal function / non-tangential maximal function / grand maximal function / Orlicz-norm / Cauchy-Riemann equation / Klein-Gordon equation / Poisson integral / 不確定性原理 / 量子測定 / 量子計算 / 量子情報 / 保存法則 / 完全正写像 / 量子計算素子 / 誤り耐性量子計算 / 量子完全相関 / 量子回路 / 量子Turing機械 / 量子推定理論 / 量子Fisher情報量 / 測定誤差 / 擾乱 / Wigner-Araki-Yanaseの定理 / 制御否定ゲート / uncertainty principle / quantum measurement / quantum computing / quantum information / conservation law / completely positive maps / quantum gates / fault-tolerant quantum computing / クンマー理論 / 代数的整数論 / 計算整数論 / トーラス / 素数判定法 / Kummer theory / algebraic number theory / computational number theory Less

Applications of algebraic methods in coding theory to combinatorial designs and discrete geometry
- Principal Investigator
  
  MUNEMASA Akihiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Research on ideal class groups of algebraic number fields and number theoretic functions and its applicationsPrincipal Investigator
- Principal Investigator
  
  TAYA Hisao
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Applications of arithmetic theory of algebraic groups to computational number theory
- Principal Investigator
  
  KIDA Masanari
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Electro-Communications
Mathematical Research of Quantum Information and Quantum Computing
- Principal Investigator
  
  OZAWA Masanao
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Characterizations of real Hardy spaces and functional analysis
- Principal Investigator
  
  KANEKO Makoto
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  TOHOKU University
代数体の岩澤加群とp進特殊関数についての研究Principal Investigator
- Principal Investigator
  
  田谷久雄
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
GEOMETRY OF NUMBERS AND CODING THEORY
- Principal Investigator
  
  UCHIDA Koji
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
Lie transformation group of non-compact groups
- Principal Investigator
  
  ASOH Toru
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
総実代数体のグリーンバーグ予想とp進ゼータ関数についての研究Principal Investigator
- Principal Investigator
  
  田谷久雄
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
実アーベル体の岩澤加群の有限性に関する研究Principal Investigator
- Principal Investigator
  
  田谷久雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
P-進代数群の離散群とHecke環の表現の研究
- Principal Investigator
  
  橋本喜一朗
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University

All 2007 2006 2005 2002

All Journal Article

[Journal Article] λ_2=μ_2=ν_2=0となる実アーベル2-拡大体について2007
- Author(s)
  田谷久雄
- Journal Title
  
  第1回・第2回室蘭数論研究集会報告集 1＆2
  
  Pages: 146-161
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] λ_2=μ_2=ν_2=0となる実アーベル2-拡大体について2007
- Author(s)
  田谷久雄
- Journal Title
  
  第1回・第2回室蘭数論研究集会報告集 1
  
  Pages: 146-161
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] On real abelian 2-extension fields with λ2=μ 2= v 2=0 (Japanese)2007
- Author(s)
  Hisao Taya
- Journal Title
  
  Proceedings of the 1st and 2nd Muroran Number Theory Symposium Vol.1＆2
  
  Pages: 146-161
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Certain real abelian 2-extensions with λ_2=μ_2=ν_2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Abstracts of International Congress of Mathematicians 2006, Madrid, Poster sessions
  
  Pages: 29-30
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] On certain real abelian fields with λ_2=μ_2=ν_2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Proceedings of Korea-Japan Number Theory Seminar 2006, KAIST
  
  Pages: 77-81
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] On certain real abelian fields with λ2=μ2= v2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Proceedings of Korea-Japan Number Theory Seminar 2006, KAIST 2006
  
  Pages: 77-81
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Notes on certain real abelian 2-extension fields with λ_2=μ_2=ν_2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Trends in Mathematics 9
  
  Pages: 81-89
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Notes on certain real abelian 2-extension fields with λ_2=μ_2=ν_2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Trends in Mathematics 9・1
  
  Pages: 81-89
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Certain real abelian 2-extensions with λ2=μ2 = v 2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Abstracts of International Congress of Mathematicians 2006,Madrid, Poster sessions 2006
  
  Pages: 29-30
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Notes on certain real abelian 2-extensions fields with λ2= μ2= v2=02006
- Author(s)
  Hisao Taya
- Journal Title
  
  Trends in Mathematics 9(2006), no.1
  
  Pages: 81-89
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] An algorithm for computing ideal class groups and unit groups (Japanese)2005
- Author(s)
  Hisao Taya
- Journal Title
  
  Proceedings of the 2005 Annual Meeting of Japan Society for Industrial and Applied Mathematics
  
  Pages: 298-299
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] 全単数群を用いたイデアル類群の汎用アルゴリズムについて2005
- Author(s)
  田谷久雄
- Journal Title
  
  日本応用数理学会2005年度年会講演予稿集
  
  Pages: 298-299
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] 代数体の類数の非可除性について2005
- Author(s)
  田谷久雄
- Journal Title
  
  第3回北陸数論小研究集会報告集 3(発表予定)
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] On indivisibility of class numbers of algebraic number fields (Japanese)2005
- Author(s)
  Hisao Taya
- Journal Title
  
  Proceedings of the 3rd Workshop on Number Theory, Hokuriku (Kanazawa) Vol.3
  
  Pages: 60-83
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] 全単数群を用いたイデアル類群の汎用アルゴリズムについて2005
- Author(s)
  田谷久雄
- Journal Title
  
  日本応用数理学会2005年度年会講演予稿集 2005年度版
  
  Pages: 298-299
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] 代数体の類数の非可除性について2005
- Author(s)
  田谷久雄
- Journal Title
  
  第3回北陸数論小研究集会報告集 3
  
  Pages: 60-83
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540007
[Journal Article] Computation of Iwasawa invariants2002
- Author(s)
  H.Taya, T.Fukuda
- Journal Title
  
  Transactions of Japan Society for Industrial and Applied Mathematics 12
  
  Pages: 293-306
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340028
[Journal Article] Computation of Iwasawa invariants2002
- Author(s)
  H.Taya (with Takashi Fukuda)
- Journal Title
  
  Transactions of Japan Society for Industrial and Applied Mathematics 12
  
  Pages: 293-306
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340028

1. IMAI Hideo (10093668)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. URAKAWA Hajime (50022679)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. ASOH Toru (00111352)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. UCHIDA Koji (20004294)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. BETSUMIYA Koichi (60364684)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. SHIMOKAWA Koya (60312633)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. KANEKO Makoto (10007172)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. HIAI Fumio (30092571)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 橋本喜一朗 (90143370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 村林直樹 (30247233)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 足立恒雄 (60063731)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. 有馬哲 (90063354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 上野喜三雄 (70160190)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. TANIGUCHI Tetsuji (90543728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. OKADA Masami (00152314)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. YASUI Tsutomu (60033891)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. NAKAMURA Makoto (70312634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. OHNO Yoshiki (80005777)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. ARISAWA Mariko (50312632)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. OZAWA Masanao (40126313)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. OBATA Nobuaki (10169360)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. OTA Kazuo (80333491)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. ONO Masahiro (70277820)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TAYA Hisao 田谷 久雄

田谷 久雄 タヤ ヒサオ

Research Projects

Research Products

Co-Researchers

Applications of algebraic methods in coding theory to combinatorial designs and discrete geometry

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on ideal class groups of algebraic number fields and number theoretic functions and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Applications of arithmetic theory of algebraic groups to computational number theory

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical Research of Quantum Information and Quantum Computing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Characterizations of real Hardy spaces and functional analysis

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数体の岩澤加群とp進特殊関数についての研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

GEOMETRY OF NUMBERS AND CODING THEORY

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Lie transformation group of non-compact groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

総実代数体のグリーンバーグ予想とp進ゼータ関数についての研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

実アーベル体の岩澤加群の有限性に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

P-進代数群の離散群とHecke環の表現の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] λ_2=μ_2=ν_2=0となる実アーベル2-拡大体について2007

Author(s)

Journal Title

Description

Data Source

[Journal Article] λ_2=μ_2=ν_2=0となる実アーベル2-拡大体について2007

Author(s)

Journal Title

Data Source

TAYA Hisao 田谷久雄

田谷久雄タヤヒサオ