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MIYAI Akio
宮井 秋男
Connect your ORCID iD
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Researcher Number
70003960
Other IDs
Affiliation (based on the past Project Information)
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2002 – 2006: 岩手大学, 教育学部, 講師
1996 – 2000: 岩手大学, 教育学部, 助手
Review Section/Research Field
Except Principal Investigator
Geometry
/
Algebra
/
Algebra
/
Geometry
Keywords
Except Principal Investigator
半整数の重さのモジュラ形式 / モジュラ形式 / ゼータ関数 / modular forms of half integral weight / modular forms / 有向グラフ / 許容関数 / リーマン葉層 / コンパクト葉 / ヤコビ形式
…
More
/ zeta function / 余次元1葉層 / ゼータ関数の特殊値 / モジュラー形式 / 半整数の重さのモジュラー形式 / 葉層構造 / 平均曲率関数 / 極小葉層 / Foliation / Minimal foliation / 平均曲率ベクトル場 / Jacobi form / Maass wave form / Stokesの公式 / モジュラ形式のフーリエ係数 / 保型形式 / zeta functions / critical values of zeta functions / Fourier coefficients of modular forms / Riemannian fo / compact leaf / バンドル-ライク葉層 / 定平均曲率葉層 / 全測地的葉層 / 極小グラフ / Bernstein問題 / 葉の成長度 / 平均曲率ベクトル / 束葉層 / ベーシック 1-形式 / 断面曲率正 / キリングベクトル場 / Bundle-like foliation / Mean curvature function / Constant mean curvature / Totally geodesic / Minimal graph / ゼータ関数お特殊値 / Jacobi形式 / モジュラー形式のフーリエ係数 / Jacobi forms / specaial values of zeta function / メトリック葉層 / キリング場 / チーガー定数 / (有向)グラフ / グラフの連結性 / (有向グラフ上の)許容関数 / 許容ベクトル場 / 錘構造 / 錐構造 / Metric foliation / Killing field / Cheeger constant / (Di-)graph / Connectivities of graph / admissible function of digraph / マースの波動形式 / ジーゲルモジュラ形式 / マース空間 / ヒルベルトモジュラ形式 / 余次元1葉層多様体 / 葉層に付随した錘構造 / 平均曲率の安定性 / 束に付随した錘構造 / Waring問題 / Foliations / Cone structures for foliations / Mean curvature vectors / Mean curvature functions / Stability of mean curvatures / Cone structures for plane fields / Waring problem
Less
Research Projects
(
9
results)
Co-Researchers
(
18
People)
Project Start Year (Newest)
Project Start Year (Oldest)
Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms
Principal Investigator
KOJIMA Hisashi
Project Period (FY)
2004 – 2005
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
SAITAMA UNIVERSITY
The study of relations between the cone structures associated with foliations and their differential geometric properties.
Principal Investigator
OSHIKIRI Gen-ichi
Project Period (FY)
2004 – 2006
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Iwate University
Arithmetic study of Fourier coefficients of modular forms of half integral weight and the special values of zeta functions
Principal Investigator
KOJIMA Hisashi
Project Period (FY)
2002 – 2003
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
IWATE UNIVERSITY
The study of relations between topological properties and differential geometric properties of foliated structures.
Principal Investigator
OSHIKIRI Gen-ichi
Project Period (FY)
2001 – 2003
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Iwate University
Arithmetic study of Fourier coefficients of automorphic forms and modular forms and zeta functions
Principal Investigator
KOJIMA Hisashi
Project Period (FY)
1999 – 2001
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Iwate University
Differential Geometric Approach to Foliated Structures.
Principal Investigator
OSHIKIRI Gen-ichi
Project Period (FY)
1998 – 2000
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Iwate University
有向グラフへの大域解析的アプローチ
Principal Investigator
押切 源一
Project Period (FY)
1997
Research Category
Grant-in-Aid for Exploratory Research
Research Field
Geometry
Research Institution
Iwate University
The study of arithmetic and analytic property of automorphic forms and zeta function associated with them and numerical analysis
Principal Investigator
KOJIMA Hisashi
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Algebra
Research Institution
Iwate University
The University of Electro-Communications
葉層に付随したグラフの幾何的構造
Principal Investigator
OSHIKIRI Genichi
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Geometry
Research Institution
Iwate University
# of Projects (Dsc)
# of Projects (Asc)
1.
OSHIKIRI Genichi
(70133931)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
2.
KOMIYAMA Haruo
(90042762)
# of Collaborated Projects:
9 results
# of Collaborated Products:
0 results
3.
KAWADA Koichi
(70271830)
# of Collaborated Projects:
8 results
# of Collaborated Products:
0 results
4.
NUMATA Minoru
(50028255)
# of Collaborated Projects:
8 results
# of Collaborated Products:
0 results
5.
FUMIO Nakajima
(20004484)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
6.
KOJIMA Hisashi
(90146118)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
7.
TAYOSHI Takao
(60017382)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
8.
吉岡 正典
(90272749)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
9.
中村 健一
(40293120)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
10.
小藤 俊幸
(30234793)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
11.
伊東 裕也
(30211056)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
12.
IIDA Masato
(00242264)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
13.
TAKEUCHI Kisao
(00011560)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
14.
SAKAI Fumio
(40036596)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
15.
MIZUTANI Tadayoshi
(20080492)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
16.
SAKAMOTO Kunio
(70089829)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
17.
KISHIMOTO Takashi
(20372576)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
18.
小池 茂昭
(90205295)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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