MOTOHASHI Yoichi 本橋洋一

… Alternative Names

本橋洋一モトハシヨウイチ

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Researcher Number	30059969
Other IDs
External Links
Affiliation (based on the past Project Information) *help	1993 – 2006: 日本大学, 理工学部, 教授 1990 – 1991: 日本大学, 理工学部, 教授
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator General mathematics (including Probability theory/Statistical mathematics) / Geometry
Keywords	Principal Investigator ゼータ関数 / 素数分布 / zeta-function / 保型形式 / ゼータ函数 / Zeta-Function / 跡公式 / distribution of primes / automorphic representation / 保型L-函数 … More / 保型L函数 / 保型表現 / spectral decomposition / Casimir operator / distribution of prime numbers / representation theory / automorphic forms / 表現論 / リー群 / スペクトル分解 / カシミール作用素 / 群表現 / Unitary Representation / Hyperbolic Space / ユニタリ表現 / 双曲空間 / trace-formulas / spectral analysis / hyperbolic geometry / 素数分布論 / スペクトル解析 / スペクトル理論 / 非ユークリッド空間 / Distribution of Primes / Homogeneous Spaces / 整数論 / 等質空間 / ゼータ関係 … More Except Principal Investigator 解の重複度 / 連立代数方程式 / カレント / 非ハウスドルフ多様体 / Klein群 / 超関数 / PL(S^1) / 曲面群 / UeG葉層 / マフィン葉層 / ピュイズ-級数 / 波動方程式 / 葉層構造 / リ-マンゼ-タ / Zeuthenの法則 / グレブナ基底 / 数式処理 / ルンゲクッタ法 / 誤差 / ゾイタンの法則 / ホモトピ-法 / 解の構成 Less

The Riemann zeta-function : its embedding into the Hilbert space over a Lie groupPrincipal Investigator
- Principal Investigator
  
  MOTOHASHI Yoichi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Relation between the Riemann zeta-function and the Casimir operatorPrincipal Investigator
- Principal Investigator
  
  MOTOHASHI Yoichi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
On the Riemann zeta-function and the 3D hyperbolic varietyPrincipal Investigator
- Principal Investigator
  
  MOTOHASHI Yoichi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Non-Euclidean Structure of the family of zeta-functionsPrincipal Investigator
- Principal Investigator
  
  MOTOHASHI Yoichi
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
SL(3,Z)-跡公式の数論への応用とそのカオス性についてPrincipal Investigator
- Principal Investigator
  
  本橋洋一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Nihon University
葉層構造の幾何学
- Principal Investigator
  
  松元重則
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nihon University
On relations between homogeneous spaces and the Riemann zeta-functionPrincipal Investigator
- Principal Investigator
  
  MOTOHASHI Yoichi
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
代数学および微分方程式論における解の構成的研究
- Principal Investigator
  
  小林英恒
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University
代数学および微分方程式論における解の構成的研究
- Principal Investigator
  
  小林英恒
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Nihon University

All 2006 2005 2004 2003 Other

All Journal Article

[Journal Article] The moments of the Riemann zeta-function. Part I : The fourth moment off the critical line2006
- Author(s)
  A.Ivic, Y.Motohashi
- Journal Title
  
  Functiones et Approximatio (E. Wirsing Festschrift) 35
  
  Pages: 133-181
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Small gaps between primes exist2006
- Author(s)
  D.A.Goldston, Y.Motohashi, J.Pintz, C.Y.Yildirim
- Journal Title
  
  Proc. Japan Academy(日本学士院紀要) 82A
  
  Pages: 61-65
- NAID
  40007343936
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Mean values of zeta-functions via representation theory.2006
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc.Symp.Pure Math., AMS. 75
  
  Pages: 257-279
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bounds for Rankin-Selberg L-functions2006
- Author(s)
  M.Jutila, Y.Motohashi
- Journal Title
  
  Proc. Symp. Pure Math., AMS 75
  
  Pages: 243-256
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Small gaps between primes exist2006
- Author(s)
  D.Goldston, Y.Motohashi, J.Pintz, C.Y.Yildirim
- Journal Title
  
  Proc. Japan Acad., Ser.A 82A
  
  Pages: 61-65
- NAID
  40007343936
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Mean values of zeta-functions via representation theory2006
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc. Symp. Pure Math., AMS 75
  
  Pages: 257-279
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Mean values of zeta-functions via representation theory2006
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc. Symp. Pure Math., American Mathematical Society 75
  
  Pages: 257-279
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Small gaps between primes exist2006
- Author(s)
  D.A.Goldston, Y.Motohashi, J.Pintz, C.Y.Yildirim
- Journal Title
  
  Proc.Japan Acad. 82A
  
  Pages: 61-65
- NAID
  40007343936
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bounds for Rankin-Selberg L-functions2006
- Author(s)
  M.Jitila, Y.Motohashi
- Journal Title
  
  Proc. Symp. Pure Math., American Mathematical Society 75
  
  Pages: 243-256
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bounds for Rankin-Selberg L-functions2006
- Author(s)
  M.Jutila, Y.Motohashi
- Journal Title
  
  Proc.Symp.Pure Math., AMS. 75
  
  Pages: 243-256
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A new approach to the spectral theory of the fourth moment of the Riemann zeta-function2005
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  J.reine angew.Mathematik 579
  
  Pages: 75-114
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A new approach to the spectral theory of the fourth moment of the Riemann zeta-function2005
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  J.reine angew.Math. 579
  
  Pages: 75-114
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A new approach to the spectral theory of the fourth moment of the Riemann zeta-function2005
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  J. f. Reine Angew. Math. (Crelle's J.)
  
  Pages: 75-114
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A multiple sum involving the Moebius function2005
- Author(s)
  Y.Motohashi
- Journal Title
  
  Publ.Inst.Math.Belgrade (掲載決定)(未定)
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] 「篩法」概観(招請論説)2005
- Author(s)
  本橋洋一
- Journal Title
  
  数学(日本数学会邦文機関誌) (掲載決定)(未定)
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bounds for Hecke L-functions2005
- Author(s)
  M.Jutila, Y.Motohashi
- Journal Title
  
  Acta Mathematica 195
  
  Pages: 61-115
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bound for Hecke L-functions2005
- Author(s)
  M.Jutila, Y.Motohashi
- Journal Title
  
  Acta Mathematica 195
  
  Pages: 61-115
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] The sieve methods (invited by Math. Soc. Japan)2005
- Author(s)
  Y.Motohashi
- Journal Title
  
  Sugaku (Japanese) 57
  
  Pages: 138-163
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] 「篩法」概観 (招請論説)2005
- Author(s)
  本橋洋一
- Journal Title
  
  数学 (日本数学会邦文機関誌) 57
  
  Pages: 138-163
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] 「篩法」概観 (日本数学会招請論説)2005
- Author(s)
  本橋洋一
- Journal Title
  
  数学(日本数学会邦文機関誌) 57
  
  Pages: 138-163
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Uniform bound for Hecke L-functions.2005
- Author(s)
  M.Jutila, Y.Motohashi
- Journal Title
  
  Acta Mathematica 195
  
  Pages: 61-115
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A note on the mean value of the zeta and L-functions.XIV2004
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc.Japan Academy(Ser.A) 80A
  
  Pages: 28-33
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A note on the mean values of the zeta and L-functions. XIV2004
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc. Japan Acad., Ser.A 80A
  
  Pages: 28-33
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A note on the mean value of the zeta and L-functions. XIV2004
- Author(s)
  Y.Motohashi
- Journal Title
  
  Proc.Japan Acad. 80A
  
  Pages: 28-33
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Sum formula for Kloosterman sums andthe fourth moment of the2003
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  Functiones et Aprroximatio 31
  
  Pages: 7-76
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A functional equation for the spectral fourth moment of the modular Hecke L-functions2003
- Author(s)
  Y.Motohashi
- Journal Title
  
  Bonner Math. Schrift. 130
  
  Pages: 19-19
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field2003
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  Functiones et Approximatio 31
  
  Pages: 7-76
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A functional equation for the spectral fourth moment of the modular Hecke L-functions2003
- Author(s)
  Y.Motohashi
- Journal Title
  
  Bonner Math.Schrift. 130
  
  Pages: 19-19
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540047
[Journal Article] A new approach to the spectral theory of the fourth moment of the Riemann zeta-function
- Author(s)
  R.W.Bruggeman, Y.Motohashi
- Journal Title
  
  J.f.Reine Angew.Math.(Crelle's J.) 579(掲載決定)(未定)
- Data Source
  KAKENHI-PROJECT-15540047

1. 小林英恒 (40060024)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. 松元重則 (80060143)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. 上坂洋司 (30059828)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 山中健 (60059061)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 佐々木隆二 (50120465)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 永坂秀子 (50058608)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 志村立矢 (90246835)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

MOTOHASHI Yoichi 本橋 洋一

本橋 洋一 モトハシ ヨウイチ

Research Projects

Research Products

Co-Researchers

The Riemann zeta-function : its embedding into the Hilbert space over a Lie groupPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Relation between the Riemann zeta-function and the Casimir operatorPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On the Riemann zeta-function and the 3D hyperbolic varietyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Non-Euclidean Structure of the family of zeta-functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

SL(3,Z)-跡公式の数論への応用とそのカオス性についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Institution

葉層構造の幾何学

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On relations between homogeneous spaces and the Riemann zeta-functionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数学および微分方程式論における解の構成的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数学および微分方程式論における解の構成的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] The moments of the Riemann zeta-function. Part I : The fourth moment off the critical line2006

Author(s)

Journal Title

Data Source

[Journal Article] Small gaps between primes exist2006

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Mean values of zeta-functions via representation theory.2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] Uniform bounds for Rankin-Selberg L-functions2006

Author(s)

Journal Title

Description

Data Source

[Journal Article] Small gaps between primes exist2006

Author(s)

Journal Title

MOTOHASHI Yoichi 本橋洋一

本橋洋一モトハシヨウイチ