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YAMAGUCHI Masatoshi
山内 正敏
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Alternative Names
YAMAUTI Masatoshi 山内 正敏
山内 正俊 ヤマウチ マサトシ
YAMAUCHI Masatoshi 山内 正敏
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Researcher Number
30022651
Affiliation (based on the past Project Information)
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2003 – 2005 : 京都大学, 大学院・理学研究科, 教授
1994 – 2001 : 京都大学, 総合人間学部, 教授
1995 : 京都大学, 総合人間学部, 助教授
1988 – 1991 : 京都大学, 教養部, 助教授
Review Section/Research Field
Except Principal Investigator
Algebra
/
代数学・幾何学
/
解析学
/
Algebra
/
Geometry
/
Geometry
/
Basic analysis
Keywords
Except Principal Investigator
球関数 / 球等質空間 / ゼータ関数 / 概均質ベクトル空間 / 保型形式 / 複素力学系 / Gauss sum / prehomogeneous vector space / 対称空間 / 4次元多様体
…
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/ 代数群 / zeta function / ガウス和 / 幾何構造 / ケ-ラ-多様体 / 旗多様体 / Eta multiplier / 超越数 / モジュライ空間 / 表現論 / ジュリア集合 / Hecke環 / ヘッケ環 / ベルンシュタイン次数 / 新谷関数 / ジーゲル保型形式 / Hasse principle / Seiberg-Witten理論 / 楕円曲面 / Freudenthal quartics / Yoshida lifting / Siegel modular form / ヂォファントス近似 / 進化ゲーム理論 / ゼータ-関数 / 交叉形式 / double coset decomposition / ホッヂ多様体, / symmetric spaces / 鞍部点法 / Kahler-Einstein metric / 対称行列の空間 / 放物ベクトル束 / 関数等式 / distinguished表現 / Mahler測度 / コーエンマコーレー加群 / 特殊関係 / functionsl equation / 算術幾何平均 / p-adic fields / 準楕円性 / 一様分布 / キバーの表現論 / Dehn surgery / エンドスコピー / Irrationality / Salem numbers / 小数部分 / unsaturated概均質ベクトル空間 / ルート系 / Fractional parts / non-integrable element / speherical homogeneous space / Seifert manifold / L-function / 和公式 / 概均質空間 / 球部分群 / パデ近似 / ヘッケ作用素 / Spherical function / ブックスバウム加群 / sphrical function / p-進群 / フーリエ係数 / Seifert fibering space / 概均質ベクトル空間のゼータ関数 / 許容表現 / Kocher-Maass級数 / Bernstein degree / Saddle point method / Julia set / Unitary representation / 尖点表現 / explicit formula / 保型L関数 / Weyl groups / Pade approximation / ケ-ラ-・アインシュタイン計量 / flagmanifold / Salem数 / 写像類群 / マーラー関数 / デーン手術 / Algebraic integers / 絶対ガロア群 / Algebraic group / シ-ゲル保型形式 / spherical functions / リ-群の表現 / ホモロジー3球面 / モノドロミ-保存変形 / 特殊関数 / 解析変換 / 退化Whittakerベクトル / 対数関数 / Arithmetic-geometric mean of Gauss / モッグス束 / Seiberg-Witten theory / Cohen-Macaulay module / リー超代数 / p-進体 / reductive groups / ワイル群 / Lie superalgebra / Hecke ring / Dirac operator / 放物型部分群 / 無理数 / ザイフェルト多様体 / Higher derivation(of rings) / 4-Manifold / prehomogeneous space / Gaussian process / Higher derivation (of rings) / サドル法 / 岩堀、ヘッケ代数 / Geometric structure / Legendre polynomial / Pisot数 / Special function / 一次元力学系 / Uniform distribution / 無理数度 / Transcendental numbers / 部分表現定理 / Weil Petersson計量 / ホッジ多様体 / 軌道分解 / Wey1群 / V manifold / Hyperkahler structure / 解析的変換 / 特異ユニタリ表現 / Huygens principle / ADSL / Representation of Lie groups / L関数 / ルジャンドル多項式 / Spherical homogeneous space / 微分構造 / extremal計量, / 認容表現 / CMー加群 / 軌道 / 局所対称空間 / ホモロジー球面 / 両側剰余類分解 / V多様体 / Prehomogenous Space / ヘッケ代数 / differentiable structure / Navier-Stokes流 / Fukumoto-Furuta不変量 / intersection form / Symmetric space / ノルム写像 / spherical homogenous spaces / Hecke operator / リー群 / カルタン分解 / Kronecker行列式 / 双対性 / degenerate Whittaker vector / 有利近似 / admissible representations / nonsaturated概均質ベクトル空間 / Macdonald公式 / コンパクトケ-ラ-多様体 / ディラック作用素 / ハイパ-ケ-ラ-構造 / 軌道上のゼータ関数 / ブロ-イングアップ / dimension formula / CM module / Kahler manifold / Complex dynamical system / 代表的整数 / ヴェ-ユ・ペ-タ-ソン計量 / Rational approximation / σ-共役類 / 簡約群 / trace value / Riemann zeta function / Kawanaka invariant / higher derivation / Representation theory / Shintani function / エグゾ-ティツ構造 / コーエン-マコーレイ環 / distinguished representations / parabolic vector bundle / 有理近似 / 二重対数関数 / automorphic form / analytic transformation / 半単純リー群 / モ-メント写像 / four-dimensinal manifold / 退化ホイッタカベクトル / Arith metic mean of Gauss / 明示公式 / homology 3-sphere / 微分同相写像 / Orbit / ユニタリー表現 / Representation of quaternions / Siegel保型形式 / Weyl群 / Siegel cusp form / hypoelliptic operator / Pisot numbers / ザイフェルトファイバ-空間 / 離散系列表現 / CM加群 / theta correspondence / sperical subgroup / 四元数環の表現 / 川中不変量 / フロイデンタール4次式 / 次元公式 / ディラック手術 / ガウス過程 / ハッセの原理 / moduli空間 / テータ対応 / 代数的整数 / 双曲構造
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Research Projects
(
15
results)
Co-Researchers
(
27
People)
Project Start Year(Newest)
Project Start Year(Oldest)
The study of low-dimensional manifolds with various geometric structures
Principal Investigator
UE Masaaki
Project Period (FY)
2004 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Kyoto University
Research for rational approximation to transcendental numbers
Principal Investigator
HARA Masayoshi
Project Period (FY)
2004 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
KYOTO UNIVERSITY
Representation theoretic research of spherical functions on p-adic homogeneous spaces
Principal Investigator
KATO Shin-ichi
Project Period (FY)
2003 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Kyoto University
On zeta functions of prehomogeneous vector spaces
Principal Investigator
SAITO Hiroshi
Project Period (FY)
1999 – 2001
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Algebra
Research Institution
KYOTO UNIVERSITY
Representation-theoretic study of spherical functions arising from number theory
Principal Investigator
KATO Shinichi
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
KYOTO UNIVERSITY
Pade type approximation and its application to the number theory
Principal Investigator
HATA Masayoshi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
解析学
Research Institution
KYOTO UNIVERSITY
On zeta functions of prehomogeneous vector spaces
Principal Investigator
SAITO Hiroshi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
KYOTO UNIVERSITY
種々の幾何構造をもつ多様体のトポロジーの研究
Principal Investigator
UE Masaki
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Kyoto University
代数群ヘッケ環の表現とその応用
Principal Investigator
KATO Shinichi
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
Algebra
Research Institution
Kyoto University
有理近似および超越数の研究
Principal Investigator
HATA Masayoshi
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Kyoto University
Arithmetic research of automorphic functions
Principal Investigator
SAITO Hiroshi
Project Period (FY)
1994 – 1996
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
Algebra
Research Institution
KYOTO UNIVERSITY
Commutative rings of analysis and others
Principal Investigator
AKIBA Tomoharu
Project Period (FY)
1991 – 1992
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
KYOTO UNIVERSITY
Study of the stability theory of polarized compact Kahler manifolds
Principal Investigator
FUJIKI Akira
Project Period (FY)
1990 – 1991
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Kyoto University
Automorphic Forms and Number Theory
Principal Investigator
Principal Investigator
YAMAUCHI Masatoshi
Project Period (FY)
1989 – 1990
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Kyoto University
The study of commutative rings and its related areas
Principal Investigator
AKIBA Tomoharu
Project Period (FY)
1987 – 1988
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
代数学・幾何学
Research Institution
Kyoto University
# of Projects (Dsc)
# of Projects (Asc)
1.
SAITOU Hiroshi
(20025464)
# of Collaborated Projects :
10results
# of Collaborated Products :
0results
2.
KATO Shinichi
(90114438)
# of Collaborated Projects :
9results
# of Collaborated Products :
0results
3.
NISHIYAMA Kyo
(70183085)
# of Collaborated Projects :
7results
# of Collaborated Products :
0results
4.
MATUKI Toshiko
(20157283)
# of Collaborated Projects :
6results
# of Collaborated Products :
0results
5.
UEDA Tetuo
(10127053)
# of Collaborated Projects :
5results
# of Collaborated Products :
0results
6.
GYOUJYA Akihiko
(50116026)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
7.
UE Masaki
(80134443)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
8.
AKIBA Tomoharu
(60027670)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
9.
YOSHINO Yuji
(00135302)
# of Collaborated Projects :
4results
# of Collaborated Products :
0results
10.
SAKURAGAWA Takashi
(60196136)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
11.
HATA Masayoshi
(40156336)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
12.
NISHIWADA Kimimasa
(60093291)
# of Collaborated Projects :
3results
# of Collaborated Products :
0results
13.
USHIKI Shigehiro
(10093197)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
14.
KONO Norio
(90028134)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
15.
IMANISHI Hideki
(90025411)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
16.
FUJIKI Akira
(80027383)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
17.
SUZUKI Satosi
(60026739)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
18.
MORIMOTO Yoshinori
(30115646)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
19.
TAKASAKI Kanehisa
(40171433)
# of Collaborated Projects :
2results
# of Collaborated Products :
0results
20.
浅野 潔
(90026774)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
21.
武内 章
(40026761)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
22.
MATSUMOTO Makoto
(70231602)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
23.
立木 秀樹
(10211377)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
24.
MURASE Atsushi
(40157772)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
25.
TAKANO Keiji
(40332043)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
26.
FUJII Michihiko
(60254231)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
27.
NAGATA Makoto
(30293971)
# of Collaborated Projects :
1results
# of Collaborated Products :
0results
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