UENO Kimio 上野喜三雄

… Alternative Names

上野喜三雄ウエノキミオ

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Researcher Number	70160190
Other IDs
External Links
Affiliation (Current)	2025: 早稲田大学, 理工学術院, 名誉教授
Affiliation (based on the past Project Information) *help	2004 – 2015: 早稲田大学, 理工学術院, 教授 2000 – 2003: 早稲田大学, 理工学部, 教授 1998: Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 1995 – 1996: 早稲田大学, 理工学部, 教授 1993: 早稲田大学, 理工学部, 教授 1989 – 1993: 早稲田大学, 理工学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Algebra / Geometry / 解析学 Except Principal Investigator 解析学 / 代数学・幾何学 / Algebra
Keywords	Principal Investigator 多重ゼータ値 / 多重対数関数 / KZ方程式 / q解析学 / 量子群 / knot cobordism / Casson-Walker invariant / finite type invariant / Vassiliev invariant / quantum invariant … More / three-manifold / link / knot / Drinfeld associator / リーマン・ヒルベルト問題 / Drinfeld Associator / ゼータ関数 / KZ equation / multiple polylogarithm / multiple zeta value / アソシエータ / 多重(高次)対数関数 / 接続問題 / Drinfel'd associator / 多重ゼーダ値 / Multiple Gamma Function / Multiple Polylogarithms / Multiple Zeta Values / Special Functions / q-Analysis / q差分方程式 / 多重ガンマ関数 / 多重高次対数関数 / 特殊関数 / 3次元多様体 / 4次元多様体 / 結び目理論 / Seiberg-Witten理論 / Seiberg-Witten不変量 / Reidemeister torsion / 量子不変量 / Vassiliew不変量 / 絡み目 / 結び目 / Riemann-Hilbert問題 / 多重対数対数関数 / モノドロミー保存変形 / 形式的KZ方程式 / リーマン : ヒルベルト問題 / モジュライ空間 / KZ 方程式 / ドリンフェルト・アソシエータ / 超幾何系 / ガンマ関数 / アルゴリズム / ソリトン方程式 / 無限次元グラスマン多様体 / 球関数 / ユニタリ-表現 / 調和解析 … More Except Principal Investigator 量子群 / 有限グラフ / 代数群 / L-関数 / Eichler order / theta級数 / 保型形式 / Brandt行列 / 四元数環 / Hecke環 / Piras作用素 / 中心拡大代数 / 量子群上のスペクトル解析 / 完全Z対象R行列 / 頂点作用素代数 / 可約Verma加群 / Virasono代数 / ディラック作用素 / 確率過程 / 球関数 / 仮設検定 / 偏微分方程式 / 関数方程式 / ベーテ仮説 / ヤン・バクスター方程式 / チャーン・サイモン理論 / 相関函数 / 可解格子模型 / 超幾何関数 / 結晶基底 / カラビ・ヤオ多様体 / 量子振幅 / 位相的場の理論 / 楕円的量子群 / qKZ方程式 / スピン鎖 / 共形ブロック / 退化ヘッケ環 / カジダン・ルスティッヒ予想 / XXZスピン鎖 / 非コンパクト型量子群 / 位相的ミニマル模型 / ミラー対称性 / QKZ方程式 / パンルベVI型方程式 / モノドロミ-保存変形 / Macdonald多項式 / サイン・ゴルドン理論 / 超対称性 / イジング模型 / アフィンヘッケ環 / アフィン量子群 / 非線型シグマ模型 / マクドナルド多項式 / 非可換トーラス / オンサーガ-代数 / ボゾン表示 / XXZ模型 / 表現論 / フォック空間 / 指数定理 / 球函数 / qー類似 / 無限次グラスマニアン / 固有値問題 / スピノ-ル / アルチン / 高木貞治 / 相互法則 / 類体論 / 線型代表群 / ゼ-タ関数 / P-進離散群 / Selbergの跡公式 / 類数 / エルミ-ト形式 / ユニタリ-群 Less

Fundamental solutions of the KZ equation on moduli spaces and the Riemann-Hilbert problemPrincipal Investigator
- Principal Investigator
  
  UENO KIMIO
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Formal KZ equation on moduli spaces and multiple polylogarithmsPrincipal Investigator
- Principal Investigator
  
  UENO Kimio
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Multiple Polylogarithms and Multiple Zeta ValuesPrincipal Investigator
- Principal Investigator
  
  UENO Kimio
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Algebro-analytical study on special functions appeared in number theoryPrincipal Investigator
- Principal Investigator
  
  UENO Kimio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Study on special functions in q-analysisPrincipal Investigator
- Principal Investigator
  
  UENO Kimio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
Applications of Seiberg-Witten theory to knot theoryPrincipal Investigator
- Principal Investigator
  
  UENO Kimio, 村上斎
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
多重ガンマ関数と多重qガンマ関数の基礎と応用Principal Investigator
- Principal Investigator
  
  上野喜三雄
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
量子郡とゼータ関数のq-類似の研究Principal Investigator
- Principal Investigator
  
  上野喜三雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda 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
無限自由度の可積分系および無限次元代数
- Principal Investigator
  
  三輪哲二
- Project Period (FY)
  1992 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kyoto University
関数方程式の総合的研究
- Principal Investigator
  
  小島清史
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
単項化定理と関連する諸題目の研究
- Principal Investigator
  
  足立恒雄
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Waseda University
場の理論の数学
- Principal Investigator
  
  郡敏昭
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
無限次元リー群およびリー環の表現とその応用
- Principal Investigator
  
  清水義之
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
量子群上の調和解析と差分系のスペクトル理論Principal Investigator
- Principal Investigator
  
  上野喜三雄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Waseda University
代数群上の保型函数論とP-進離散群の研究
- Principal Investigator
  
  橋本喜一朗
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Waseda University

All 2016 2015 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

[Book] 線型代数の基礎2011
- Author(s)
  上野喜三雄
- Total Pages
  283
- Publisher
  内田老鶴圃
- Data Source
  KAKENHI-PROJECT-22540035
[Journal Article] The inversion formula of polylogarithms and the Riemann-Hilbert problem2013
- Author(s)
  Shu.Oi, Kimio Ueno
- Journal Title
  
  Symmetries,Integrable Systems and Representations ed.by K. Iohara et al., Springer Proceedings in Mathematics & Statistics
  
  Volume: 40 Pages: 491-496
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400054
[Journal Article] TheInversion Formula of Polylogarithms and the Rieman-Hilbert Problem2013
- Author(s)
  Shu Oi and Kimio Ueno
- Journal Title
  
  Springer Proceedings in Mathematics and Statistics
  
  Volume: 40 Pages: 491-496
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540035
[Journal Article] KZ equation on the moduli space M_{0,5} and the harmonic product of multiple polylogarithms2012
- Author(s)
  Shu Oi and Kimio Ueno
- Journal Title
  
  Proc.London Math. Acad.
  
  Volume: (3) 105 Pages: 983-1020
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540035
[Journal Article] 2変数KZ方程式の接続問題と多重対数関数の調和積2009
- Author(s)
  大井周, 上野喜三雄
- Journal Title
  
  京都大学数理解析研究所講究録「微分方程式のモノドロミーをめぐる諸問題」 1662号
  
  Pages: 28-46
- Data Source
  KAKENHI-PROJECT-19540056
[Journal Article] 2変数KZ方程式の接続問題と多重対数関数の調和積2009
- Author(s)
  大井周, 上野喜三雄
- Journal Title
  
  数理解析研究所講究録 1662
  
  Pages: 23-46
- Data Source
  KAKENHI-PROJECT-19540056
[Journal Article] 2変数多重対数関数の接続問題と多重ゼータ値の複シャッフル関係式及び2重対数関数の5項関係式2007
- Author(s)
  上野喜三雄
- Journal Title
  
  京都大学数理解析研究所講究録「多重ゼータ値の研究」 1549号
  
  Pages: 194-209
- Data Source
  KAKENHI-PROJECT-19540056
[Journal Article] 2変数多重対数関数の接続問題と多重ゼータ値の複シャッフル関係式,及び,2重対数関数の5項関係式2007
- Author(s)
  上野喜三雄
- Journal Title
  
  数理解析研究所講究録 1549
  
  Pages: 194-209
- Data Source
  KAKENHI-PROJECT-19540056
[Journal Article] Multiple Polylogarithms and Multiple Zeta Values (in Japanese)2006
- Author(s)
  Kimio Ueno
- Journal Title
  
  Abstracts of invited lectures in the autumn conference of MSJ at Osaka City University
  
  Pages: 41-53
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] 多重ゼータ値と多重対数関数2006
- Author(s)
  上野喜三雄
- Journal Title
  
  2006年度日本数学会秋季総合分科会総合講演・企画特別講演アブストラクト
  
  Pages: 41-53
- NAID
  130005450843
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] 多重対数関数と多重ゼータ値2006
- Author(s)
  上野喜三雄
- Journal Title
  
  2006年9月,日本数学会秋季総合分科会,総合講演・企画特別講演予稿集
  
  Pages: 41-53
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation2005
- Author(s)
  Jun-ichi Okuda, Kimio Ueno
- Journal Title
  
  Zeta Functions, Topology and Quantum Physics, Developments in Mathematics(ed. by T. Aoki) 14
  
  Pages: 145-170
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] 2変数多重対数関数の接続問題と多重ゼータ値の複シャッフル関係式及2重対数関数の5項関係式2005
- Author(s)
  上野喜三雄
- Journal Title
  
  京都大学数理解析研究所講究録『多重ゼータ値の研究』
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation2005
- Author(s)
  Jun-ichi Okuda, Kimio Ueno
- Journal Title
  
  Zeta Functions, Topology, Quantum Physics, Developments in Mathematics 第14巻
  
  Pages: 145-170
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] The Sum Formula off Multiple Zeta Values and Connection Problem of the Formal Knizhinik-Zamolodchikov Equation2005
- Author(s)
  Jun-ichi Okuda, Kimio Ueno
- Journal Title
  
  Developments in Mathematics 14, Zeta Functions, Topology, Quantum Physics, ed. by T. Aoki et al., Springer
  
  Pages: 145-170
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] Relations for Multiple Zeta Values and Mellin Tranforms of Multiple Polylogarithms2004
- Author(s)
  Jun-ichi Okuda, Kimio Ueno
- Journal Title
  
  Publ. RIMS Kyoto Univ.(京都大学数理解析研究所紀要) 40-2
  
  Pages: 537-564
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] Relations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarithms2004
- Author(s)
  Juni-ichi OKUDA, Kimio UENO
- Journal Title
  
  Publ.RIMS, Kyoto Univ. 40
  
  Pages: 537-564
- NAID
  110001050917
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] Relations for Multiple Zeta Values and Mellin Transforms of Multiple Polylogarithms2004
- Author(s)
  Jun-ichi Okuda, Kimio Ueno
- Journal Title
  
  Publ. RIMS, Kyoto Univ. 40
  
  Pages: 537-564
- NAID
  110001050917
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540050
[Journal Article] Iterated integrals and relations of multiple polylogarithms
- Author(s)
  大井周, 上野喜三雄
- Journal Title
  
  京都大学数理解析研究所講究録「表現論と組合せ論」 (掲載予定)
  
  Pages: 16-16
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] KZ方程式に付随したモノドロミー保存変形の正則解について2016
- Author(s)
  上野喜三雄
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-25400054
[Presentation] 2重対数関数とモノドロミー保存変形2015
- Author(s)
  上野喜三雄
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-14
- Data Source
  KAKENHI-PROJECT-25400054
[Presentation] The KZ equation on the moduli space M_{05} and the Riemann-Hilbert problem I, and II2013
- Author(s)
  Kimio Ueno, Shu Oi
- Organizer
  Global invariants and moduli spaces
- Place of Presentation
  KIAS　（韓国高等研究所）
- Invited
- Data Source
  KAKENHI-PROJECT-25400054
[Presentation] KZ equation on the moduli space M_{05} and the Riemann-Hilbert problem I and II2013
- Author(s)
  Kimio　Ueno, Shu OI
- Organizer
  Integrable systems, modulara forms, and related applications
- Place of Presentation
  早稲田大学西早稲田キャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-25400054
[Presentation] 1 変数KZ 方程式の接続問題とRiemann-Hilbert 問題2013
- Author(s)
  大井周-上野喜三雄
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学吉田キャンパス
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] 2重対数関数の6角形関係式とRiemann-Hilbert問題2013
- Author(s)
  上野喜三雄
- Organizer
  2013年　日本数学会年会
- Place of Presentation
  京都大学吉田キャンパス
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] 2 重対数関数の6角形関係式とRiemann-Hilbert 問題2013
- Author(s)
  大井周-上野喜三雄
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学吉田キャンパス
- Year and Date
  2013-03-23
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] 多重対数関数の反転公式とRiemann-Hilbert問題2012
- Author(s)
  大井周, 上野喜三雄
- Organizer
  日本数学会2012年度年会
- Place of Presentation
  東京理科大学理学部(東京)
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] Connection Problem of KZ Equation on Muduli Space ￥mathcal(M)_{0,5}2011
- Author(s)
  上野喜三雄, 大井周
- Organizer
  Infinite Analysis 11
- Place of Presentation
  東京大学数理科学専攻大講堂(東京)(招待講演)
- Year and Date
  2011-07-26
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] 形式的KZ方程式と基本解の分解とモジュライ空間の幾何学2010
- Author(s)
  大井周, 上野喜三雄
- Organizer
  日本数学会秋季総合文化会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-22540035
[Presentation] 2変数形式的KZ方程式と多重対数関数の調和積2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  日本数学会2009年度年会
- Year and Date
  2009-03-29
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] 2変数KZ方程式の解の変換理論と dilogarithm の5項関係式2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学理学部
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] 2変数KZ方程式の解の変換理論とdilogarithmの5項関係式2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] 2変数KZ方程式の接続問題と2変数多重対数関数の調和積2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  京都大学数理解析研究所短期共同研究『微分方程式のモノドロミーをめぐる諸問題』
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2009-02-03
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] Iterated integrals and relations of multiple polylogarithms2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  京都大学数理解析研究所研究集会「表現論と組合せ論」
- Place of Presentation
  於北海道大学
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] Iterated Integrals and relations of multiple polylogarithms2009
- Author(s)
  大井周, 上野喜三雄
- Organizer
  数理解析研究所研究集会「表現論と組合せ論」
- Place of Presentation
  北海道大学理学部
- Year and Date
  2009-08-26
- Data Source
  KAKENHI-PROJECT-19540056
[Presentation] 2変数KZ方程式の接続問題と多重対数関数の調和積2008
- Author(s)
  大井周, 上野喜三雄
- Organizer
  京都大学数理解析研究所短期共同研究「微分方程式のモノドロミーをめぐる諸問題」
- Data Source
  KAKENHI-PROJECT-19540056

1. 橋本喜一朗 (90143370)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
2. 郡敏昭 (50063730)

# of Collaborated Projects: 5 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 村上斎 (70192771)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. FUKUSHIMA Nobuhisa (00298168)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. YONEDA Gen (90277848)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. 山田義雄 (20111825)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. 清水義之 (60063723)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 堤正義 (70063774)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. FUKUYAMA Masaru (80063741)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. KOJIMA Jun (50063540)

# of Collaborated Projects: 1 results

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12. OKUDA Jun-ichi (80386599)

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13. 廣瀬健 (60063632)

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14. 寺田文行 (30063324)

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15. 草間時武 (10063538)

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18. 三輪哲二 (10027386)

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19. 梁成吉 (70201118)

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UENO Kimio 上野 喜三雄

上野 喜三雄 ウエノ キミオ

Research Projects

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Co-Researchers

Fundamental solutions of the KZ equation on moduli spaces and the Riemann-Hilbert problemPrincipal Investigator

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Formal KZ equation on moduli spaces and multiple polylogarithmsPrincipal Investigator

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Multiple Polylogarithms and Multiple Zeta ValuesPrincipal Investigator

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Algebro-analytical study on special functions appeared in number theoryPrincipal Investigator

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Study on special functions in q-analysisPrincipal Investigator

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Applications of Seiberg-Witten theory to knot theoryPrincipal Investigator

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多重ガンマ関数と多重qガンマ関数の基礎と応用Principal Investigator

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量子郡とゼータ関数のq-類似の研究Principal Investigator

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P-進代数群の離散群とHecke環の表現の研究

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無限自由度の可積分系および無限次元代数

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関数方程式の総合的研究

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単項化定理と関連する諸題目の研究

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場の理論の数学

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UENO Kimio 上野喜三雄

上野喜三雄ウエノキミオ