OAKU Toshinori 大阿久俊則

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

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

[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
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400123, KAKENHI-PROJECT-25220001
[Journal Article] Annihilators of distributions associ- ated with algebraic local cohomology of a hyper- surface2014
- Author(s)
  T. Oaku
- Journal Title
  
  Complex Variables and Elliptic Equa- tions
  
  Volume: (印刷中) Issue: 11 Pages: 1-14
- DOI
  10.1080/17476933.2012.751100
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21540200, KAKENHI-PROJECT-26400123
[Journal Article] Algorithms for integrals of holonomic functions over domains deﬁned by polynomial in- equalities2013
- 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 Issue: 1 Pages: 46-59
- 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 Issue: 8 Pages: 1545-1557
- 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

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OAKU Toshinori 大阿久 俊則

大阿久 俊則 オオアク トシノリ

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Algorithms for D-modules and their applicationsPrincipal Investigator

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Algorithms for D-modules and their applicationsPrincipal Investigator

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Study on algorithms for D-modulesPrincipal Investigator

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Study on Algorithms for D-Modules.Principal Investigator

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OAKU Toshinori 大阿久俊則

大阿久俊則オオアクトシノリ