Amou Masaaki 天羽雅昭

… Alternative Names

天羽雅昭アモウマサアキ

AMOU Masaaki 天羽雅昭

天羽雅明アモウマサアキ

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Researcher Number	60201901
Other IDs
Affiliation (Current)	2022: 群馬大学, 大学院理工学府, 教授
Affiliation (based on the past Project Information) *help	2016: 群馬大学, 大学院理工学府, 教授 2015: 群馬大学, 大学院・理工学府, 教授 2014: 群馬大学, 大学院理工学府, 教授 2009 – 2011: Gunma University, 大学院・工学研究科, 教授 2007 – 2008: Gunma University, 大学院・工学研究科, 准教授 … More 2000 – 2006: Gunma University, Faculty of Engineering, Associate Professor, 工学部, 助教授 1996 – 1999: 群馬大学, 工学部, 講師 1993 – 1994: 群馬大学, 工学部, 講師 1992: 群馬大学, 教養部, 講師 1991: 群馬大学, 教養学部, 講師 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator 解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Basic analysis / Algebra
Keywords	Principal Investigator 1次独立性 / 無理数 / 代数的独立性 / 超越測度 / q-関数 / 無理数度 / Linear Independence / モジュラー関数 / パデ近似 / 超幾何級数 … More / Irrational Number / Irrationality Measure / q-差分方程式 / q-超幾何級数 / シドロフスキの補題 / q-Difference Equation / Shidlovskii's Lemma / マーラー関数 / ディリクレ級数 / G-関数 / q一関数 / G一関数 / 超越数 / 正規性 / 消去法 / 超越性 / チャカロフ関数 / Hypergeometric Function / 無理性 / 近似測度 / Irrationality / Approximation Measure / q-Hypergeometric Series / 有理性判定条件 / テータ級数 / 線形回帰数列 / q- Function / q-Hypergeometric Sereis / Rationality Criterion / Theta Series / Linear Recurrence Sequence / q-Function … More Except Principal Investigator 逆問題 / inverse problem / 積分変換 / 再生核の理論 / 境界値逆問題 / 再生核 / 熱方程式 / 不等式 / 解の解析性 / 解析性 / 特殊関数 / ゼータ関数 / 数式処理 / computer algebra / 逆散乱問題 / 電気インピーダンストモグラフィ / inverse boundary value problem / inverse scattering problem / Pade approximation / グリ-ン関数 / 解析接続 / ヒルベルト空間 / 非線形偏微分方程式 / 最良近似 / norm不等式 / シュレディンガー方程式 / 波動方程式 / 大域解 / 外部境界値問題 / 解の平滑化 / 非線形発展方程式 / ポアソン方程式 / 非線形 / generating function / zeta-function / テータ関数 / 母関数 / 多重母関数 / 偏微分方程式 / partial differential equation / 再構成公式 / 不連続面 / デイリクレーノイマン写像 / コーシーデータ / 散乱振幅 / 探針法 / 散乱抓幅 / Dirichlct-to-Neumann写像 / 逆源泉問題 / 導電率 / Cauchy problem / Dirichlet / Neumann / inverse conductivity problem / the probe method / パデ近似 / 無理数度 / 一次独立 / 連分数 / 超越数 / 超幾何関数 / 多重対数関数 / 無理数 / Irrationality / Linear independence / Transcendence / Roth-Ridont theorem / Polylogarithms / Fredholm series / Metric Property / Trans cendence / Bernoulli numbers / Saddle points / Diophantine inequality / Pade近似 / モノドロミー理論 / G関数 / 多項式 / 近似 / 9-関数 / irrationality measure / linear independence / continued fraction / transcendency / hypergeometric function / polylogarithm / zeta function / インピーダンスCT / 数値-数式ハイブリッド法 / 境界地逆問題 / 逆解析 / impedance CT / symbolic-numeric hybrid method / Dirichlet-to-Neumann写像 / 欠陥 / 介在物 / 障害物 / 亀裂 / 複素幾何光学解 / Dirichlet-to-Neumann map / defect / inclusion / obstacle / electrical impedance tomography / ラプラス変換 / 実逆変換 / 数値解析 / 積分方程式 / 計算機 / アルゴリズム / 近似解法 / チィコノフ正則化法 / 離散化 / Reproducing kernels / Tikhonov regularization / Numerical Analysis / Algorithm / Computer / Computer Graphic / Analysis / Applicable Analysis Less

Multiple hypergeometric type generating functions for the values of Lerch zeta-functions--their formulation and analytic behaviour--
- Principal Investigator
  
  KATSURADA Masanori
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Keio University
A new development of irrational number theoryPrincipal Investigator
- Principal Investigator
  
  AMOU Masaaki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
Research of arithmetical properties for analytic functions satisfying a system of linear functional equationsPrincipal Investigator
- Principal Investigator
  
  AMOU Masaaki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
Research of the applications of the theory of reproducing kernels
- Principal Investigator
  
  SAITOH Saburou
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
A Research on the Theory of Irrational Numbers for q-FunctionsPrincipal Investigator
- Principal Investigator
  
  AMOU Masaaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
Extraction formulae in Inverse problems
- Principal Investigator
  
  IKEHATA Masaru
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
A Research on Linear Independence of Special Values of q-FunctionsPrincipal Investigator
- Principal Investigator
  
  AMOU Masaaki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
A Computer Algebraic Method for Inverse Analysis and Its Application
- Principal Investigator
  
  AMANO Kazuo
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
Analytical research for transcendental numbers
- Principal Investigator
  
  HATA Masayoshi
- Project Period (FY)
  2000 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
A Research on Arithmetical Properties of Special Values of q-FunctionsPrincipal Investigator
- Principal Investigator
  
  MASAAKI Amou
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
Mathematics of reconstruction of the surface of discontinuity inside a body from observation data
- Principal Investigator
  
  IKEHATA Masaru
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gunma University
A Computer Algebraic Method for Partial Differential Equations
- Principal Investigator
  
  AMANO Kazuo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Gunma University
A Research on Transcendence and Algebraic Independence of Special Values of Automorphic FunctionsPrincipal Investigator
- Principal Investigator
  
  AMOU Masaaki
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
代数的独立性と代数的独立度についての研究Principal Investigator
- Principal Investigator
  
  天羽雅昭
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Gunma University
偏微分方程式に応用のある解析接続の研究
- Principal Investigator
  
  斎藤三郎
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gunma University
偏微分方程式の解の性質に関する研究
- Principal Investigator
  
  林仲夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gunma University
偏微分方程式に応用のある解析接続の研究
- Principal Investigator
  
  齋藤三郎
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gunma University
偏微分方程式に応用のある解析接続の研究
- Principal Investigator
  
  SAITO Saburo
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Gunma University

All 2010 2009 2008 2007 2005 2004 Other

All Journal Article Presentation

[Journal Article] Exponents of Diophantine approximation and expansions in integer bases2010
- Author(s)
  Masaaki Amou, Yann Bugeaud
- Journal Title
  
  J. London Math. Soc
  
  Volume: Vol.81 Pages: 209-316
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540006
[Journal Article] Exponents of Diophantine approximation and expansions in integer bases2010
- Author(s)
  Masaaki Amou, Yann Bugeaud
- Journal Title
  
  J.London Math.Soc. 81
  
  Pages: 297-316
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540006
[Journal Article] On Siegel-Shidlovskii's theory for q-difference equations2007
- Author(s)
  M.Amou, T.Matala-ach, K.Vaananen
- Journal Title
  
  Acta Arith 127
  
  Pages: 309-335
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540012
[Journal Article] On Siegel-Shidlovskii's theory for q-difference equations2007
- Author(s)
  M.Amou, T.Matala-aho, K.Vaananen
- Journal Title
  
  Acta Arith. (in press)
- Data Source
  KAKENHI-PROJECT-18540012
[Journal Article] On integer polynomials with multiple roots2007
- Author(s)
  M.Amou, Yann Bugeaud
- Journal Title
  
  Mathematika 54
  
  Pages: 83-92
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540012
[Journal Article] Linear independence of the values of q-hypergeometric series and related functions2005
- Author(s)
  M.Amou, K.Vaananen
- Journal Title
  
  Ramanujan J. 9巻
  
  Pages: 317-339
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] On linear independence of the theta values2005
- Author(s)
  M.Amou, K.Vaananen
- Journal Title
  
  Monasch.Math. 144
  
  Pages: 1-11
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Sur la separation des racines des polynomes et une question de Sprindzuk2005
- Author(s)
  M.Amou, Y.Bugeaud
- Journal Title
  
  Ramanujan J. 9巻
  
  Pages: 25-32
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Linear independence of the values of q-hypergeometric series and related functions.2005
- Author(s)
  Masaaki Amou, Keijo Vaananen
- Journal Title
  
  The Ramanujan J. 9
  
  Pages: 317-339
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] On linear independence of the theta values2005
- Author(s)
  M.Amou, K.Vaananen
- Journal Title
  
  Manasch.Math. 144巻
  
  Pages: 1-11
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Linear independence of the values of q-hypergeometric series and related functions2005
- Author(s)
  M.Amou, K.Vaananen
- Journal Title
  
  The Ramanujan J. 9
  
  Pages: 317-339
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Sur la separation des racines des polynomes et une question de Sprindzuk.2005
- Author(s)
  Masaaki Amou, Yann Bugeaud
- Journal Title
  
  The Ramanujan J. 9
  
  Pages: 25-32
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Sur la separation des racines des polynomes et une question de Sprindzuk2005
- Author(s)
  M.Amou, Y.Bugeaud
- Journal Title
  
  Ramanujan J. 9巻(in press)
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] On linear independence of the theta values.2005
- Author(s)
  Masaaki Amou, Keijo Vaananen
- Journal Title
  
  Monasch. Math. 144
  
  Pages: 1-11
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Sur la separation des racines des polynomes et une question de Sprindzuk2005
- Author(s)
  M.Amou, Y.Bugeaud
- Journal Title
  
  The Ramanujan J. 9
  
  Pages: 25-32
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Irrationality results for values of generalized Tschakaloff series II2004
- Author(s)
  M.Amou, M.Katsurada
- Journal Title
  
  J. Number Theory 104
  
  Pages: 132-155
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] Irrationality results for values of generalized Tcshakaloff series II.2004
- Author(s)
  Masaaki Amou, Masanori Katsurada
- Journal Title
  
  J. Number Theory 104
  
  Pages: 132-155
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540006
[Journal Article] On integer polynomials with multiple roots
- Author(s)
  M.Amou, Yann Bugeaud
- Journal Title
  
  Mathematika
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540012
[Presentation] Algebraic independence of certain infinite products2009
- Author(s)
  天羽雅昭
- Organizer
  Diophantine Analysis and Related Fields 2009
- Place of Presentation
  東京
- Year and Date
  2009-03-03
- Data Source
  KAKENHI-PROJECT-18540012
[Presentation] Linear independence of the values of q-series2008
- Author(s)
  天羽雅昭
- Organizer
  Numbers, Functions, Equations 08
- Place of Presentation
  Noszvaj(ハンガリ-)
- Year and Date
  2008-06-19
- Data Source
  KAKENHI-PROJECT-18540012
[Presentation] Linear independence of the values of q-series2008
- Author(s)
  天羽雅昭
- Organizer
  Numbers, Functions, Equations'08
- Place of Presentation
  Nszvaj(ハンガリー)
- Year and Date
  2008-06-19
- Data Source
  KAKENHI-PROJECT-18540012

1. SAITO Saburo (10110397)

# of Collaborated Projects: 16 results

# of Collaborated Products: 0 results
2. AMANO Kazuo (90137795)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
3. IKEHATA Masaru (90202910)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
4. KATSURADA Masanori (90224485)

# of Collaborated Projects: 7 results

# of Collaborated Products: 2 results
5. ONDA Isao (00012906)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. SATO Hisashi (60008513)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
7. 大久保敏 (00008533)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. TANUMA Kazumi (60217156)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
9. NAKAMURA Gen (50118535)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
10. 林仲夫 (30173016)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
11. 松本健吾 (40241864)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
12. HATA Masayoshi (40156336)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. NAGATA Makoto (30293971)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KONO Norio (90028134)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SAITO Hiroshi (20025464)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. OHE Takashi (90258210)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 相川弘明 (20137889)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 野田工 (10350034)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 櫻川貴司 (60196136)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 日置尋久 (70293842)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 浅野潔 (90026774)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Amou Masaaki 天羽 雅昭

天羽 雅昭 アモウ マサアキ

AMOU Masaaki 天羽 雅昭

天羽 雅明 アモウ マサアキ

Research Projects

Research Products

Co-Researchers

Principal Investigator

Project Period (FY)

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Research Institution

A new development of irrational number theoryPrincipal Investigator

Principal Investigator

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Research of arithmetical properties for analytic functions satisfying a system of linear functional equationsPrincipal Investigator

Principal Investigator

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Principal Investigator

Project Period (FY)

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Research Institution

A Research on the Theory of Irrational Numbers for q-FunctionsPrincipal Investigator

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Research Institution

Principal Investigator

Project Period (FY)

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Research Institution

A Research on Linear Independence of Special Values of q-FunctionsPrincipal Investigator

Principal Investigator

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Research Field

Research Institution

Principal Investigator

Project Period (FY)

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Principal Investigator

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A Research on Arithmetical Properties of Special Values of q-FunctionsPrincipal Investigator

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Project Period (FY)

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Principal Investigator

Project Period (FY)

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Principal Investigator

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A Research on Transcendence and Algebraic Independence of Special Values of Automorphic FunctionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数的独立性と代数的独立度についての研究Principal Investigator

Principal Investigator

Amou Masaaki 天羽雅昭

天羽雅昭アモウマサアキ

AMOU Masaaki 天羽雅昭

天羽雅明アモウマサアキ