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