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OAKU Toshinori  大阿久 俊則

ORCIDConnect your ORCID iD *help
… Alternative Names

大阿久 俊則  オオアク トシノリ

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Researcher Number 60152039
Other IDs
External Links
Affiliation (Current) 2022: 東京女子大学, 現代教養学部, 教授
Affiliation (based on the past Project Information) *help 2009 – 2018: Tokyo Woman's Christian University, 現代教養学部, 教授
1999 – 2009: Tokyo Women's University, Faculty of Liberal Arts, Professor, 文理学部, 教授
1995 – 1998: 横浜市立大学, 理学部, 助教授
1994: 横浜市立大学, 文理学部, 助教授
1991: 横浜市立大学, 文理学部, 助教授
Review Section/Research Field
Principal Investigator
Basic analysis / Basic analysis / Algebra
Except Principal Investigator
Basic analysis / 解析学 / Algebra / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Basic analysis / Geometry / Global analysis / Geometry
Keywords
Principal Investigator
アルゴリズム / D加群 / グレブナー基底 / 数式処理 / D-module / algorithm / Groebner base / symbolic computation / 代数解析 / 微分方程式 … More / 超関数 / ホロノミック関数 / 局所コホモロジー / 積分 / ホロノミック系 / b関数 / 線形微分方程式 / グレブナ基底 / linear partial differential equation / 自由分解 / 線形偏微分方程式 / 代数解析学 / 差分方程式 / 微分差分方程式 / 留数 / 解析学 / ベルンステイン佐藤イデアル / 確率密度関数 / ファインマン積分 / D加群 / D-加群 / 線型偏微分方程式 / 線型微分方程式 / algebraic analysis / 極小分解 / 割算 / 線形編微分方程式 / 微分作用素 / Groebner基底 / 微分作用素環 / lihear partial differential equation / free resolution / minimal resolution / division / 確定特異点 / partial differential equations / regular singularity / b-function … More
Except Principal Investigator
計算代数解析 / アルゴリズム / D-加群 / 量子群 / Kac環 / Woronowicz環 / 量子ローレンツ群 / グレブナー基底 / 計算代数統計 / 計算可換代数 / グレブナ基底 / Quantum double / Hopf^*環 / 量子包絡環 / ハーディ空間 / 特異積分 / 凸多面体 / マルコフ基底 / 計算の効率化 / 凸多面体の組合せ論 / 複素解析 / 代数解析 / 特異点 / 対数的ベクトル場 / Tjurina数 / ホロノミーD-加群 / Local move / Vassiliev invariant / Moonshine VOA / Hardy space / D-module / 線形加法的確率場 / ポアソン超平面過程 / 加法過程 / 多径数ブラウン運動 / 確率的幾何学 / リー代数 / 階別リー代数 / ジョルダン代数 / 非結合的代数 / 特性サイクル / 確定特異点 / WKB-exactness / coherent state / path integral / gauge structure / WZW model / FR model / algorithm / Fuchsian PDE / Hopf*環 / Quantum Double / Hopf C^*環 / ローレンツ空間 / 合成績 / 移植定理 / A_p荷重 / 合成積 / チェザロ作用素 / 重み付き不等式 / 整数計画 / イニシャルイデアル / 分割表 / トーリックイデアル / グレブナ-基底 / D加群 / generic initial ideal / 実解析 / 調和解析 / 関数空間 / 直交級数 / ハーディー空間 / モデュレーション空間 / シャッテンクラス / ハウスドルフ作用素 / 重み付き関数空間 / 擬微分作用素 / フレーム / 関数解析 / 時間周波数解析 / シャッテン族 / モデユレーション空間 / ラドン変換 / ペーリーの不等式 / ハンケル変換 / ウェーブレット / 最大関数 / 変動指数ルベーグ空間 / 交換子作用素 / フーリエ乗子 / 重み付き評価 / 直交関数 / 計算代数幾何 / 離散数学 / 結び目 / 空間グラフ / Vassiliev不変量 / C_n-move / C_n-distance / 有限型不変量 / 交代結び目 / 絡み数 / pass move / 4頂点完全グラフ / 特異点変形 / モノドロミー / 最小消去多項式 / 広義固有ベクトル / 国際情報交換 / 可積分模型 / くり込み群の方法 / 漸近解析 / コヒーレント状態 / 量子力学 / 幾何学的位相 / ベリー接続 / 幾何学的量子コンピューター / 包絡線 / 非線形シグマ模型 / 非線形グラスマン模型 / 運動方程式 / 部分模型 / 保存カレント / 可積分系 / 高階ダランベール作用素 / Integrabel Model / Renormalization-group Method / Asymptotic Analysis / Coherent State / Quantum Mechanics / Geometric Phase / Berry Connection / Geometric Quantum Computer / ribbon link / spatila graph / hemloty sphere / spatial graph / homology sphere / boundary link / Ribbon link / Spatial graph / Homology sphere / A-超幾何関数 / A-超幾何方程式 / 数学公式 / 特殊関数 / 代数方程式系 / calA-超幾何関数 / calA-超幾何方程式 / 超幾何関数の積分表示 / A-hypergeometric function / A-hypergeometric equation / D-modules / Computational D-modules / Grobner basis / Mathematical formula / Special function / random numbers and integration / ネター作用素 / ホロノミック系 / 多変数留数 / Hermite-Jacobi再生核 / Grothendieck双対性 / Milnor数 / グロタンディエック双対性 / ミルナー数 / チュリナ数 / Noetherian / holonomic system / Residue / Hermite-Jacobi reproducing kernel / Grothendieck duality / Milnor number / Tjurina namber / 局所コホモロジー / スタンダード基底 / integral number / Le numbers / b-関数 Less
  • Research Projects

    (25 results)
  • Research Products

    (71 results)
  • Co-Researchers

    (59 People)
  •  Computational complex analysis and algebraic analysis of singularities

    • Principal Investigator
      Tajima Shinichi
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      University of Tsukuba
  •  Algorithms for D-modules and their applicationsPrincipal Investigator

    • Principal Investigator
      OAKU Toshinori
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Computational Complex Analysis of logarithmic vector fields, singular varieties and Algebraic Analysis Algorithms

    • Principal Investigator
      TAJIMA Shinichi
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      University of Tsukuba
  •  Algorithms for D-modules and their applicationsPrincipal Investigator

    • Principal Investigator
      OAKU Toshinori
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Study of local moves and invariants for knots and virtual knots

    • Principal Investigator
      OHYAMA Yoshiyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Woman's Christian University
  •  The Study of theoretical aspects and practical aspect on Grobner Bases

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Harmonic analysis by real variable methods and its applications

    • Principal Investigator
      MIYACHI Akihiko
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  計算可換代数と計算代数幾何についての国際研究集会の企画調査

    • Principal Investigator
      日比 孝之
    • Project Period (FY)
      2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  グレブナー基底の理論的有効性と実践的有効性に関する共同研究の企画調査

    • Principal Investigator
      HIBI Takayuki
    • Project Period (FY)
      2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Study on algorithms for D-modulesPrincipal Investigator

    • Principal Investigator
      OAKU Toshiimori
    • Project Period (FY)
      2004 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Computational Analysis of Hypergeometric Differential Equations

    • Principal Investigator
      TAKAYAMA Nobuki
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KOBE UNIVERSITY
  •  Algebraic Analysis of residue currents and an algorithm for computing Noether operators

    • Principal Investigator
      TAJIMA Shinichi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Niigata University
  •  種々の関数空間における因数分解の研究

    • Principal Investigator
      MIYACHI Akihiko
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Study on Algorithms for D-Modules.Principal Investigator

    • Principal Investigator
      OAKU Toshinori
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Study for 3-mainfolds and knots, links and graphs contained in them

    • Principal Investigator
      KOBAYASHI Kazuaki
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Woman's Christian University
  •  Study on Algorithms for D-ModulesPrincipal Investigator

    • Principal Investigator
      OAKU Toshinori
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Tokyo Woman's Christian University
  •  Mathematical Research of Quantum Field Theory.

    • Principal Investigator
      FUJII Kazuyuki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Yokohama City University
  •  Study on Algorithms for D-ModulesPrincipal Investigator

    • Principal Investigator
      OAKU Toshonori
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  量子群の非可換幾何

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  場の量子論の数学的研究

    • Principal Investigator
      藤井 一幸
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Yokohama City University
  •  量子群の非可換幾何

    • Principal Investigator
      中神 祥臣
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  D加群に関するアルゴリズムの研究

    • Principal Investigator
      TAKAYAMA Nobuki
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Kobe University
  •  量子群の非可換幾何

    • Principal Investigator
      NAKAGAMI Yoshiomi
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Yokohama City University
  •  多元環の研究とその応用

    • Principal Investigator
      浅野 洋
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Yokohama City University
  •  線形加法的確率場の研究

    • Principal Investigator
      森 俊夫
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Yokohama City University

All 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] An algorithm to compute the differ- ential equations for the logarithm of a polynomial. Proceedings of the 37th International Conference on Symbolic and Algebraic Computation2012

    • Author(s)
      T. Oaku
    • Publisher
      ACM Press
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Book] 「グレブナー基底の現在」(日比孝之編)(第8章「微分作用素環の斉次化と確定特異点型D加群」を担当)2006

    • Author(s)
      大阿久 俊則(分担執筆)
    • Total Pages
      21
    • Publisher
      数学書房
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Book] グレブナー基底の現在(日比孝之編)(第8章を担当)2006

    • Author(s)
      大阿久俊則(分担執筆)
    • Total Pages
      21
    • Publisher
      数学書房
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] An attempt to compute holonomic systems for Feynman integrals in two-dimensional space-time2019

    • Author(s)
      Toshinori Oaku
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2101 Pages: 77-90

    • Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Algorithms for D-modules, integration, and generalized functions with applications to statistics2018

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 77 Pages: 253-352

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Localization, local cohomology, and the b-function of a D-module with respect to a polynomial2018

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 77 Pages: 353-398

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] An algorithmic study on the integration of holonomic hyperfunctions --oscillatory integrals and a phase space integral associated with a Feynman diagram2018

    • Author(s)
      Toshinori Oaku
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 印刷中 Pages: 1-14

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Operational calculus for holonomic distributions in the framework of D-module theory2017

    • Author(s)
      Toshinori Oaku
    • Journal Title

      RIMS Kokyuroku Bessatsu, Kyoto University

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Localization, local cohomology, and the b-function of a D-module with respect to a polynomial2017

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 印刷中 Pages: 1-46

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Operational calculus for holonomic distributions in the framework of D-module theory2017

    • Author(s)
      Toshinori Oaku
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B61 Pages: 123-140

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Algorithms for D-modules, integration, and generalized functions with applications to statistics2017

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 印刷中 Pages: 1-100

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Annihilators of Laurent coefficients of the complex power for normal crossing singularity2016

    • Author(s)
      Toshinori Oaku
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B57 Pages: 79-84

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Annihilators of Laurent coefficients of the complex power for normal crossing singularity2016

    • Author(s)
      Toshinori Oaku
    • Journal Title

      RIMS Kokyuroku Bessatsu, Kyoto University

      Volume: 未定

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Journal Article] Properties of powers of functions satisfying second-order linear differential equations with applications to statistics2015

    • Author(s)
      Naoki, Marumo, Toshinori Oaku
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 32 Issue: 2 Pages: 553-572

    • DOI

      10.1007/s13160-015-0179-3

    • NAID

      210000159935

    • ISSN
      0916-7005, 1868-937X
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400123, KAKENHI-PROJECT-25220001
  • [Journal Article] Annihilators of distributions associated with algebraic local cohomology of a hypersurface2014

    • Author(s)
      T. Oaku
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: (印刷中) Pages: 1-14

    • DOI

      10.1080/17476933.2012.751100

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-21540200, KAKENHI-PROJECT-26400123
  • [Journal Article] Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities2013

    • Author(s)
      T. Oaku
    • Journal Title

      Journal of Symbolic Computation

      Volume: 50 Pages: 1-27

    • DOI

      10.1016/j.jsc.2012.05.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] An algorithm to compute the differential equations for the logarithm of a polynomial2012

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Proceedings of the 37^<th> International Symposium on Symbolic and Algebraic Computation

      Volume: 37(印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] An algorithm to compute the differential equations for the logarithm of a polynomial2012

    • Author(s)
      Toshinori Oaku
    • Journal Title

      Proceedings of the 37th International Conference on Symbolic and Algebraic Computation (ISSAC 2012),. ACM Press

      Volume: 37 Pages: 273-280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Local Bernstein-Sato ideals : algorithm and examples2010

    • Author(s)
      R. Bahloul, T. Oaku
    • Journal Title

      Journal of Symbolic Computation

      Volume: 45

    • DOI

      10.1016/j.jsc.2009.06.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Local Bernstein-Sato ideals : Algorithm and Examples2010

    • Author(s)
      R.Bahloul, T.Oaku
    • Journal Title

      Journal of Symbolic Computation 45

      Pages: 46-59

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Local Bernstein-Sato ideals : Algorithms and Examples2010

    • Author(s)
      R.Bahloul, T.Oakua
    • Journal Title

      Journal of Symbolic Computation

      Volume: 45 Pages: 46-59

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Regular b-functions of D-modules2009

    • Author(s)
      T.Oaku
    • Journal Title

      Journal of Pure and Applied Algebra 213

      Pages: 1545-1557

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Regular b-functions of D-modules2009

    • Author(s)
      T. Oaku
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 213

    • DOI

      10.1016/j.jpaa.2008.11.020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] Holonomic functions revisited2009

    • Author(s)
      T.Oaku
    • Journal Title

      Proceedings of the Joint Conference of ASCM 2009 and MACSIS 2009

      Pages: 2-5

    • Data Source
      KAKENHI-PROJECT-21540200
  • [Journal Article] On regular b-functions of D-modules2007

    • Author(s)
      T.Oaku
    • Journal Title

      「超幾何微分方程式の計算解析」科学研究費補助金(基盤研究(B))研究成果報告書(研究代表者 : 高山信毅)

      Pages: 127-135

    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Tangent cone algorithm for homogenized differential operators2005

    • Author(s)
      M. Granger, T. Oaku, N. Takayama
    • Journal Title

      Journal of Symbolic Computation 39

      Pages: 417-431

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Tangent cone algorithm for homogenenized differential operators2005

    • Author(s)
      M.Granger, T.Oaku, N.Takayama.
    • Journal Title

      Journal of Symbolic Computation 39

      Pages: 417-431

    • Data Source
      KAKENHI-PROJECT-15340045
  • [Journal Article] Tangent cone algorithm for homogenized differential operators2005

    • Author(s)
      M., Granger, T., Oaku, N., Takayama
    • Journal Title

      Journal of Symbolic Computation Vol. 39

      Pages: 417-431

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Tangent cone algorithm for homogenized differential operators2005

    • Author(s)
      Granger, M., Oaku, T., Takayama, N.
    • Journal Title

      Journal of Symbolic Computation 39

      Pages: 417-431

    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      M.Granger, T.Oaku
    • Journal Title

      Journal of Pure and Applied Algebra 191

      Pages: 157-180

    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      M.Granger, T.Oaku
    • Journal Title

      Journal of Pure and Applied Algebra 191

      Pages: 157-180

    • Data Source
      KAKENHI-PROJECT-15340045
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      M. Granger, T. Oaku
    • Journal Title

      Journal of Pure and Applied Algebra 191

      Pages: 157-180

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Minimal filtered free resolutions for analytic D-modules2004

    • Author(s)
      M., Granger, T., Oaku
    • Journal Title

      Journal of Pure and Applied Algebra Vol. 191

      Pages: 157-180

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Takayama, Algebraic algorithms for D-modules and numerical analysis2003

    • Author(s)
      T.Oaku, Y.Shiraki, N
    • Journal Title

      Computer mathematics, Lecture Notes Ser. Comput.(World Sci. Publishing) 10

      Pages: 23-39

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340045
  • [Journal Article] Regular b-functions of D-modules

    • Author(s)
      T. Oaku
    • Journal Title

      Journal of Pure and Applied Algebra 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Tangent cone algorithm for homogenized differential operators

    • Author(s)
      M.Granger, T.Oaku, N.Takayama
    • Journal Title

      Journal of Symbolic Computation (印刷中)

    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Regular b-funetions of D-modules

    • Author(s)
      T. Oaku
    • Journal Title

      Journal of Pure and Applied Algebra (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Journal Article] Regular b-functions of D-modules

    • Author(s)
      T., Oaku
    • Journal Title

      Journal of Pure and Applied Algebra(In press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Presentation] Computation of holonomic systems for Feynman amplitudes associated with some simple diagrams2019

    • Author(s)
      Toshinori Oaku
    • Organizer
      "The Mathematics of Linear Relations between Feynman Integrals", Mainz Institute for Theoretical Physics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] On various b-functions of specialiizable D-modules2018

    • Author(s)
      Toshinori Oaku
    • Organizer
      「代数解析学の諸問題ー超局所解析及び漸近解析」京都大学 数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] An algorithmic study on the intgration of holonomic distributions2016

    • Author(s)
      大阿久俊則
    • Organizer
      New development of microlocal analysis and singular perturbation theory
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2016-10-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Some D-module theoretic aspects of the local cohomology of a polynomial ring2015

    • Author(s)
      Toshinori Oaku
    • Organizer
      The 8th Mathematical Society of Japan Seasonal Institute "Current Trends on Groebner Bases -The 50th Anniversary of Groebner Bases-"
    • Place of Presentation
      Hotel Nikko Osaka, Osaka, Japan
    • Year and Date
      2015-07-06
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Algorithms for D-modules, integration, and generalized functions2015

    • Author(s)
      Toshinori Oaku
    • Organizer
      The 8th Mathematical Society of Japan Seasonal Institute "Current Trends on Groebner Bases -The 50th Anniversary of Groebner Bases-"
    • Place of Presentation
      Hotel Nikko Osaka, Osaka, Japan
    • Year and Date
      2015-07-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Some algorithmic problems for holonomic distributions2015

    • Author(s)
      Toshinori Oaku
    • Organizer
      Microlocal Anslysis and Singular Puturbatkon Theory
    • Place of Presentation
      RIMS, Kyoto University, Kyoto, Japan
    • Year and Date
      2015-10-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] D-module theoretic global multiplicity of local cohomology - some examples2015

    • Author(s)
      Toshinori Oaku
    • Organizer
      研究集会 Theoretical and Computational Aspects of Algebraic Analysis
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2015-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Annihilators of Laurent coefficients of the complex power of a real analytic function - examples and algorithms2014

    • Author(s)
      Toshinori Oaku
    • Organizer
      研究集会 Several Aspects of Microlocal Analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2014-10-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Algebraic and algorithmic study of some generalized functions associated with a real polynomial2014

    • Author(s)
      Toshinori Oaku
    • Organizer
      Seminario del Departamento de Algebra (代数学科セミナー)
    • Place of Presentation
      セビリア大学数学学部代数学科(スペイン)
    • Year and Date
      2014-09-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400123
  • [Presentation] Introduction to b-functions2014

    • Author(s)
      S. Tajima and T. Oaku
    • Organizer
      Computational Algebraic Statistics, Theories and Applications 2014
    • Place of Presentation
      Kyoto, Kyoto Terrsa
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540162
  • [Presentation] Laurent expansion of the complex power as distribution2014

    • Author(s)
      大阿久俊則
    • Organizer
      研究集会「代数解析学と局所凸空間」
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2014-02-17
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Algorithms for D-modules applied to generalized functions2013

    • Author(s)
      T. Oaku
    • Organizer
      Workshop'Algebra, Algo- rithms and Algebraic Analysis'
    • Place of Presentation
      Rolduc Abbey, the Netherlands
    • Year and Date
      2013-09-06
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Operational calculus for distribu- tions with a holomorphic parameter2013

    • Author(s)
      大阿久俊則
    • Organizer
      研究集会'Sev- eral aspects of algebraic analysis'
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2013-03-16
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Algorithms for D-modules applied to the complex power and the local zeta function associated with a real polynomial2013

    • Author(s)
      大阿久俊則
    • Organizer
      筑波大学解析セミナー
    • Place of Presentation
      筑波大学
    • Year and Date
      2013-10-30
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Realification of algebraic local co- homology2012

    • Author(s)
      大阿久俊則
    • Organizer
      研究集会「超局所解析とその展望」
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Realification of algebraic local cohomology2012

    • Author(s)
      大阿久俊則
    • Organizer
      超局所解析とその展望
    • Place of Presentation
      日本大学理工学部
    • Year and Date
      2012-03-09
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Operational residue calculus for the complex power of a polynomial2012

    • Author(s)
      大阿久俊則
    • Organizer
      Risa/Asir Conference 2012+第4回六甲博多計算代数会議
    • Place of Presentation
      神戸大学大学院理学研究科
    • Year and Date
      2012-03-22
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Operational residue calculus for the complex power of a polynomial2012

    • Author(s)
      大阿久俊則
    • Organizer
      Risa/Asir Confer- ence 2013 +第4回六甲博多計算代数会議
    • Place of Presentation
      神戸大学
    • Year and Date
      2012-03-22
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] 超曲面に台を持つデルタ関数と代数的局所コホモロジー2012

    • Author(s)
      大阿久俊則
    • Organizer
      超幾何方程式研究会2012
    • Place of Presentation
      神戸大学大学院理学研究科
    • Year and Date
      2012-01-06
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] An algorithm to compute the dif- ferential equations for the logarithm of a polyno- mial2012

    • Author(s)
      T. Oaku
    • Organizer
      The 37th International Conference on Sym- bolic and Algebraic Computation
    • Place of Presentation
      Grenoble Univer- sity, France
    • Year and Date
      2012-07-25
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] 超曲面に台を持つデルタ関数と代数的局所コホモロジー2012

    • Author(s)
      大阿久俊則
    • Organizer
      超幾何方程式研究会2012
    • Place of Presentation
      神戸大学
    • Year and Date
      2012-01-06
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Holonomic distributions and local cohomology2011

    • Author(s)
      Toshinori Oaku
    • Organizer
      Microlocal Analysis and Related Topics
    • Place of Presentation
      埼玉大学東京ステーションカレッジ
    • Year and Date
      2011-12-14
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] 定積分の満たす微分差分方程式系の計算アルゴリズム2011

    • Author(s)
      大阿久俊則
    • Organizer
      第3回六甲博多計算代数会議
    • Place of Presentation
      神戸大学
    • Year and Date
      2011-03-23
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Holonomic distributions and local co- homology2011

    • Author(s)
      T. Oaku
    • Organizer
      Microlocal Analysis and Related Topics
    • Place of Presentation
      埼玉大学東京ステーションカレッジ
    • Year and Date
      2011-12-14
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Holonomic functions revisited2009

    • Author(s)
      T. Oaku
    • Organizer
      The Joint Conference of ASCM 2009 and MACSIS 2009
    • Place of Presentation
      福岡市
    • Year and Date
      2009-12-17
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Regular specializability of A-hypergeometric systems2008

    • Author(s)
      大阿久 俊則
    • Organizer
      超幾何方程式研究会2008
    • Place of Presentation
      神戸大学理学部
    • Year and Date
      2008-01-08
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Presentation] On regular b-functions of D-modules2007

    • Author(s)
      T., Oaku
    • Organizer
      Theoretical Effectivity and Practical Effectivity of Groebner Bases
    • Place of Presentation
      Kyoto University
    • Year and Date
      2007-01-25
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Presentation] On regular b-functions of D-modules2007

    • Author(s)
      T. Oaku
    • Organizer
      Theoretical Effectivity and Practical Effectivity of Groebner Bases
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-01-25
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540172
  • [Presentation] Algorithms for D-modules applied to generalized functions

    • Author(s)
      Toshinori Oaku
    • Organizer
      Algebra, Algorithms and Algebraic Analysis
    • Place of Presentation
      Rolduc Abbey, the Netherlands
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] An algorithm to compute the differential equations for the logarithm of a polynomial

    • Author(s)
      Toshinori Oaku
    • Organizer
      37th International Conference on Symbolic and Algebraic Computation (ISSAC 2012)
    • Place of Presentation
      Grenoble University, France
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Simple line singularitiesに付随するD-加群の局所コホモロジー解とモノドロミー

    • Author(s)
      梅田陽子, 大阿久俊則, 田島慎一
    • Organizer
      日本数学会函数方程式分科会
    • Place of Presentation
      明治大学, 東京
    • Year and Date
      2015-03-21 – 2015-03-24
    • Data Source
      KAKENHI-PROJECT-24540162
  • [Presentation] Operational calculus for distributions with a holomorphic parameter

    • Author(s)
      大阿久俊則
    • Organizer
      Several aspects of algebraic analysis
    • Place of Presentation
      日本大学理工学部(東京都)
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540200
  • [Presentation] Laurent expansion of the complex power as distribution

    • Author(s)
      大阿久俊則
    • Organizer
      代数解析学と局所凸空間
    • Place of Presentation
      日本大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-21540200
  • 1.  ICHIDA Ryousuke (10094294)
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  • 2.  MIYACHI Akihiko (60107696)
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  • 4.  FUJII Kazuyuki (00128084)
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