MIYAZAKI Takuya 宮崎琢也

Researcher Number	10301409
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Affiliation (Current)	2020: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help	2011: 慶應義塾大学, 理工学部, 准教授 2007 – 2009: Keio University, Faculty of Science and Technology, Associate Professor 2004 – 2006: 慶應義塾大学, 理工学部, 助教授 2000 – 2003: 慶應義塾大学, 理工学部, 講師 1999: Tokyo Metropolitan University, Department of Mathematics, Assistant Professor, 大学院・理学研究科, 助手 1998 – 1999: 東京都立大学, 理学研究科, 助手
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Geometry / General mathematics (including Probability theory/Statistical mathematics) / Global analysis / Algebra
Keywords	Principal Investigator 導来函手加群 / ジーゲル保型形式 / 導来関手加群 / アイゼンシュタイン級数 / 齋藤・黒川持ち上げ / テータ対応 / 退化主系列表現 / Rankin-Selberg / シンプレクティック群 / ホイタッカー関数 … More Except Principal Investigator 国際研究者交流 / 指数定理 / 楕円曲線 / 国際情報交換 / 変形量子化 / 超弦理論 / 量子化問題 / ポアソン幾何学 / 整数論 / 岩澤理論 / 岩澤主予想 / 非可換幾何学 / 連分数 / TNT / 非可換多様体 / 非可換解析 / 量子エルゴード性 / 無限次元多様体 / 双曲多様体 / 作用素環 / 固有値問題 / path integral / Fittingイデアル / Kolyvagin系 / ドイツ:韓国 / Euler系 / Stickelberger元 / p進L関数 / 有理点 / ジャーブ / 変形量子化問題 / シンプレクティック幾何学 / 非可換ゲージ理論 / 中国:スイス:アメリカ / regularization / 擬微分作用素 / スペクトル理論 / オーストラリア:アメリカ:イタリア / 量子コホモロジー / 岩沢理論 / イギリス:フランス:ベルギー:中国:コロンビア / 非可換微分幾何学 / Lie algebroid / Floer homology / Parabolic geometry / deformation quantization / Dirac structure / symplectic geometry / 非アルキメデス数体 / 測度論的数論 / 測度論敵数論 / フランス:オランダ:イスラエル / イタリア:フランス:オランダ / K理論 / エータ不変量 / 葉層構造 / 巡回コホモロジー / 幾何学 / 位相幾何学 / Godbillon-Vey不変量 / イタリア:中国:アメリカ / 接触構造 / 佐々木多様体 / エルゴード理論 / ユークリッドアルゴリズム / Rauzy induction / Diophantus近似 / オランダ:フランス:韓国:イスラエル / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル:イタリア / コンピュータ / アルゴリズム / ソフト / データ / ネットワーク / メイリングリスト / number theory / computer / algorithm / software / database / network / mailing list / ガロア群 / 基本群 / ガロア表現 / 遠アーベル幾何学 / 外ガロア表現 / 写像類群 / グロタンディーク・タイヒミュラー群 / 数論的基本群 / タイヒミュラーモジュラー群 / Galois Group / fundamental group / Galois representation / anabelian geometry / exterior Galois representation / mapping class group / Grothendieck-Teichmuller group / arithemtic fundamental group / テイトシャファレビッチ群 / スーパーシンギュラー還元 / テイトーシャファレビッチ群 / 岩澤不変量 / ティトーシャファレビッチ群 / スーパーシンギュラーリダクション / Iwasawa theory / elliptic curve / Tate-Shafarevich group / supersingular reduction Less

An ergodic study of algorithms
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Noncommutative Geometry and equivariant index theorem for twisted group actions
- Principal Investigator
  
  MORIYOSHI Hitoshi
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Keio University
Ergodic theory and metric number theory
- Principal Investigator
  
  NAKADA Hitoshi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Keio University
Refined Iwasawa theory and the zeta functions
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Keio University
Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic formsPrincipal Investigator
- Principal Investigator
  
  MIYAZAKI Takuya
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Keio University
非可換解析を基礎とする非可換微分幾何学の構築と超弦理論への展開
- Principal Investigator
  
  MAEDA Yoshiaki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Keio University
導来函手加群に関連する幾何的ジーゲル保型表現の構成と算術的商多様体の数論Principal Investigator
- Principal Investigator
  
  宮崎琢也
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Keio University
幾何的保型形式とアイゼンシュタイン級数に関する算術的商多様体の数論Principal Investigator
- Principal Investigator
  
  宮崎琢也
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Keio University
Grant-in-Aid for Scientific Research(C)(2)
- Principal Investigator
  
  KURIHARA Masato
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
実リー群の許容表現に関する一般型球関数とモジュラー多様体の実ホッジ構造Principal Investigator
- Principal Investigator
  
  宮崎琢也
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Data Computation and Software Development in Number Theory by Computers
- Principal Investigator
  
  NAKAMULA Ken
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University
Exterior Galois representations in fundamental groups and associated arithmetic phenomena
- Principal Investigator
  
  NAKAMURA Hiroaki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Metropolitan University

All 2008 2007 2006 2005 2004

All Journal Article Presentation

[Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008
- Author(s)
  Y. Hasegawa, T. Miyazaki
- Journal Title
  
  International Journal of Mathematics Accepted for publication
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008
- Author(s)
  Y. Hasegawa, T. Miyazaki
- Journal Title
  
  International Journal of Mathematics, accepted for publication (未定)(掲載確定)
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] A new nonformal noncommutative calculus: associativity and finite part regularization.2008
- Author(s)
  Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
- Journal Title
  
  Asterisque No.321
  
  Pages: 267-297
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Geometric objects in an approach to quantum geometry. From geometry to quantum mechanics2007
- Author(s)
  Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
- Journal Title
  
  Progr. Math. 252
  
  Pages: 303-324
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Orderings and non-formal deformation quantization2007
- Author(s)
  Omori, Hideki, Maeda,Yoshiaki, Miyazaki, Naoya, Yoshioka, Akira
- Journal Title
  
  Lett. Math. Phys no.2-3
  
  Pages: 153-175
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Expressions of algebra elements and transcendental, Noncommutative calculus.2007
- Author(s)
  Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
- Journal Title
  
  Noncommutative geometry and physics
  
  Pages: 3-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Expressions Expressions of algebra elements and transcendental noncommutative calculus2007
- Author(s)
  Hideki Omori, Maeda, Yoshiaki, Naoya Miyazaki, Akira Yoshioka
- Journal Title
  
  Noncommutative geometry and physics2005
  
  Pages: 3-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Mellin transform of a residue of Siegel-Eisenstein series2007
- Author(s)
  長谷川泰子・宮崎琢也
- Journal Title
  
  日本数学会2007年度年会代数分科会講演アブストラクト
  
  Pages: 106-107
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] Orderings and non-formal deformation quantization.2007
- Author(s)
  Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
- Journal Title
  
  Lett. Math. Phys 82,no.2-3
  
  Pages: 153-175
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Non-formal deformation quantization of Frechet-Poisson algebras: the Heisenberg and Lie algebra case. field theory2007
- Author(s)
  Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
- Journal Title
  
  Contemp. Math. 434
  
  Pages: 99-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204006
[Journal Article] Confluent hypergeometric functions for reducible degenerate principal series2006
- Author(s)
  Takuya Miyazaki
- Journal Title
  
  京都大学数理解析研究所講究録 (掲載予定)
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] Confluent hypergeometric functions for reducible principal series2006
- Author(s)
  T. Miyazaki
- Journal Title
  
  RMS Koukyuuroku 1467
  
  Pages: 62-70
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] Confluent hypergeometric functions for reducible principal series2006
- Author(s)
  宮崎琢也
- Journal Title
  
  数理解析研究所講究録 1467
  
  Pages: 62-70
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Journal Article] On Saito-Kurokawa lifting to cohomological Siegel modular forms2004
- Author(s)
  Takuya Miyazaki
- Journal Title
  
  Manuscripta mathematicae 114
  
  Pages: 139-163
- Data Source
  KAKENHI-PROJECT-14740026
[Presentation] Mellin transforms of a residue of Siegel-Eisenstein series2007
- Author(s)
  Y. Hasegawa, T. Miyazaki
- Organizer
  Algebra session at the annual meeting of Mathematical Society of Japan
- Place of Presentation
  Saitama University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Presentation] Mellin transforms of a residue of Siegel-Eisenstein series2007
- Author(s)
  長谷川泰子, 宮崎琢也
- Organizer
  日本数学会代数分科会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-30
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Presentation] 退化主系列表現の構造と帯多項式付のsiege-Eisenstein級数2007
- Author(s)
  宮崎琢也
- Organizer
  大阪大学大学院集中講義
- Place of Presentation
  大阪大学理学研究科
- Data Source
  KAKENHI-PROJECT-17540038
[Presentation] Confluent hypergeometric functions for reducible degenerate principal series2005
- Author(s)
  T. Miyazaki
- Organizer
  Representation theory of groups and extension of harmonic analysis
- Place of Presentation
  Kyoto
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540038
[Presentation] Confluent hypergeometric functions for reducible degenerate principal series2005
- Author(s)
  宮崎琢也
- Organizer
  群の表現と調和解析の広がり
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2005-07-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17540038

1. KURIHARA Masato (40211221)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. MAEDA Yoshiaki (40101076)

# of Collaborated Projects: 3 results

# of Collaborated Products: 7 results
3. MORIYOSHI Hitoshi (00239708)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. KAMETANI Yukio (70253581)

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5. TANAKA Takaaki (60306850)

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6. MATSUNO Kazuo (40332936)

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7. TAMURA Yozo (50171905)

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8. ATSUJI Atsushi (00221044)

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9. ONO Kaoru (20204232)

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10. KATSURA Takeshi (50513298)

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11. NATSUI Rie (60398633)

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12. NAKAMURA Hiroaki (60217883)

# of Collaborated Projects: 3 results

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13. MIYAKE Katsuya (20023632)

# of Collaborated Projects: 2 results

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14. TATE Tatsuya (00317299)

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15. OTA Katsuhiro (40213722)

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16. GUEST Martin (10295470)

# of Collaborated Projects: 2 results

# of Collaborated Products: 7 results
17. TAKEDA Yuichirou (30264584)

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18. OMORI Hideki (20087018)

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# of Collaborated Products: 7 results
19. WATAMUAR Satoshi (00201252)

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20. HACHIMORI Yoshitaka (50433743)

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21. ISHII Ippei (90051929)

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22. TOSE Nobuyuki (00183492)

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23. FUKAYA Kenji (30165261)

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24. WATAMURA Satoshi (00204232)

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25. MIKAMI Kentaro (70006592)

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26. MITSUMATSU Yoshihiko (70190725)

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27. MATSUO Yuyaka (50202320)

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28. NAKADA Hitoshi (40118980)

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29. NAKAMULA Ken (80110849)

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30. KAWASAKI Takeshi (40301410)

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31. SHIOKAWA Iekata (00015835)

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32. BANNAI Kenichi (90343201)

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33. AOKI Miho (10381451)

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34. SHIMOMURA Shun (00154328)

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35. IKEDA Kaoru (40232178)

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36. KONNO Hiroshi (20254138)

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37. KOHNO Toshitake (80144111)

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38. YAMAGUCHI Keizo (00113639)

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39. MIYAOKA Reiko (70108182)

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40. FUTAKI Akitp (90143247)

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41. MIZUTANI Tadayoshi (20080492)

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42. OHTA Hiroshi (50223839)

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43. MAEJIMA Makoto (90051846)

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44. YASUDA Kumi (40284484)

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45. MIYAZAKI Naoya (50315826)

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46. KATO Tsuyoshi (20273427)

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47. NATSUME Toshikazu (00125890)

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48. TAMURA Akihisa (50217189)

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49. HAMA Masaki (90389875)

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50. ISHIKAWA Shiro (10051913)

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51. FUKUYAMA Katsushi (60218956)

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52. YOSHIDA Masamichi (60264793)

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53. EI Hiromi (60333051)

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54. MORITA Takehiko (00192782)

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55. INOUE Kae (90621011)

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56. KURATA Toshihiko (40311899)

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57. KURANO Kazuhiko (90205188)

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58. ODA Yoshiaki (90325043)

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59. 鈴木由紀 (30286645)

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60. 藤井俊 (20386618)

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61. 落合理 (90372606)

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62. 加藤和也 (90111450)

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63. 岡崎龍太郎 (20268113)

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64. 寺尾宏明 (90119058)

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65. 深谷太香子 (20365464)

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MIYAZAKI Takuya 宮崎 琢也

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Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic formsPrincipal Investigator

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導来函手加群に関連する幾何的ジーゲル保型表現の構成と算術的商多様体の数論Principal Investigator

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幾何的保型形式とアイゼンシュタイン級数に関する算術的商多様体の数論Principal Investigator

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実リー群の許容表現に関する一般型球関数とモジュラー多様体の実ホッジ構造Principal Investigator

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[Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008

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[Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008

Author(s)

MIYAZAKI Takuya 宮崎琢也