Terai Nobuhiro 寺井伸浩

… Alternative Names

Researcher Number	00236978
Affiliation (Current) *help	2018 : 大分大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2017 – 2018 : 大分大学, 理工学部, 教授 2014 – 2016 : 大分大学, 工学部, 教授 2013 : 足利工業大学, 工学部, 准教授 2010 : 足利工業大学, 準教授 1994 : 足利工業大学, 工学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator Baker理論 / Jesmanowicz予想 / 指数型不定方程式 / 整数解 / 数論 / 不定方程式 Except Principal Investigator 整数点 / 楕円曲線 / 楕円曲線の Mordell-Weil 群 / 虚数乗法 … More

Study on exponential Diophantine equations related toPrincipal InvestigatorOngoing
- Principal Investigator
  
  寺井伸浩
- Project Period (FY)
  2018 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Oita University
Study on integer solutions of exponential Diophantine equationsPrincipal Investigator
- Principal Investigator
  
  寺井伸浩
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Oita University
Rational points and integer points on elliptic curves and the related Diophantine equations
- Principal Investigator
  
  FUJITA Yasutsugu
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Complex multiplication of elliptic curves and abelian varieties
- Principal Investigator
  
  NAKAMURA Tetsuo
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
多元環の表現論および関連する分野の研究
- Principal Investigator
  
  太刀川弘幸
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Ashikaga Institute of Technology

All 2018 2017 2016 2015 2013 2011 2009 Other

All Journal Article Presentation

[Journal Article] On the exponential Diophantine equation (3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z2017
- Author(s)
  Nobuhiro Terai, Takeshi Hibino
- Journal Title
  
  Period. Math. Hungar.
  
  Volume : 74 Pages : 227-234
- DOI
  10.1007/s10998-016-0162-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04786
[Journal Article] On the exponential Diophantine equation a^x+lb^y=c^z2016
- Author(s)
  Nobuhiro Terai, Takeshi Hibino
- Journal Title
  
  Int. J. Algebra
  
  Volume : 10 Pages : 393-403
- DOI
  10.12988/ija.2016.6747
- Peer Reviewed / Open Access / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04786
[Journal Article] On the exponential Diophantine equation (12m^2 + 1)^x + (13m^2-1)^y = (5m)^z2015
- Author(s)
  Nohuhiro Terai, Takeshi Hibino
- Journal Title
  
  International Journal of Algebra
  
  Volume : 9 Pages : 261-272
- DOI
  10.12988/ija.2015.5529
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04786
[Journal Article] On Jesmanowicz' conjecture concerning primitive Pythagorean triples II2015
- Author(s)
  Nobuhiro Terai, Takafumi Miyazaki
- Journal Title
  
  Acta Mathematica Hungarica
  
  Volume : 147 Pages : 286-293
- DOI
  10.1007/s10474-015-0552-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04786, KAKENHI-PROJECT-13J00484
[Journal Article] On exponential Diophantine equations containing the Euler quotient2015
- Author(s)
  Nobuhiro Terai
- Journal Title
  
  Bull. Australian Math. Soc.
  
  Volume : 91 Pages : 11-18
- DOI
  10.1017/s0004972714000719
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04786
[Journal Article] Generators and integer points on the elliptic curve y^2=x^3-nx2013
- Author(s)
  Yasutsugu Fujita and Nobuhiro Terai
- Journal Title
  
  Acta Arithmetica
  
  Volume : 160 Pages : 333-348
- DOI
  10.4064/aa160-4-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] Integer points and independent points on ellpitic curve y^2=x^3-p^k x2011
- Author(s)
  Y.Fujita, N.Terai
- Journal Title
  
  Tokyo J.Math
  
  Volume : (受理済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540004
[Journal Article] Integer points and independent points on the elliptic curve y^2=x^3-p^kx
- Author(s)
  Y.Fujita, N.Terai
- Journal Title
  
  J.Math. (accepted)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540004
[Presentation] 一般化されたRamanujan-Nagell方程式 x^2+(2c-1)^m=c^n について2018
- Author(s)
  寺井伸浩
- Organizer
  第138回日本数学会九州支部例会
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式 a^x+lb^y=c^z について2017
- Author(s)
  寺井伸浩
- Organizer
  第136回日本数学会九州支部例会
- Place of Presentation
  福岡教育大学(福岡県福岡市）
- Year and Date
  2017-02-18
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] On the exponential Diophantine equation a^x + b^y = c^z2017
- Author(s)
  寺井伸浩
- Organizer
  第11回福岡数論研究集会
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式 a^x + 3b^y = c^z について2016
- Author(s)
  寺井伸浩
- Organizer
  第135回日本数学会九州支部例会
- Place of Presentation
  長崎大学(長崎県長崎市)
- Year and Date
  2016-10-22
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] Euler商に関する指数型不定方程式について2016
- Author(s)
  寺井伸浩
- Organizer
  第10回福岡数論研究集会
- Place of Presentation
  九州大学伊都キャンパス(福岡県福岡市)
- Year and Date
  2016-08-09
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式 a^x+b^y=c^z の解の個数について2016
- Author(s)
  寺井伸浩
- Organizer
  愛知数論セミナー
- Place of Presentation
  愛知工業大学本山キャンパス(愛知県名古屋市)
- Year and Date
  2016-05-21
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式 a^x+b^y=c^z について2015
- Author(s)
  寺井伸浩
- Organizer
  北陸数論セミナー
- Place of Presentation
  金沢大学サテライトプラザ (石川県金沢市)
- Year and Date
  2015-09-17
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式 (pm^2+1)^x+(qm^2-1)^y=(rm)^z について2015
- Author(s)
  寺井伸浩
- Organizer
  早稲田大学整数論セミナー
- Place of Presentation
  早稲田大学西早稲田キャンパス (東京都新宿区)
- Year and Date
  2015-05-15
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 指数型不定方程式に関する Jesmanowicz 予想の一般化について2015
- Author(s)
  寺井伸浩
- Organizer
  第133回日本数学会九州支部例会
- Place of Presentation
  佐賀大学理工学部 (佐賀県佐賀市)
- Year and Date
  2015-10-24
- Data Source
  KAKENHI-PROJECT-15K04786
[Presentation] 楕円曲線y^2=x^3-p^kxの整数点とMordell-Weilランクについて2009
- Author(s)
  寺井伸浩
- Organizer
  早稲田大学整数論セミナー
- Place of Presentation
  早稲田大学大久保キャンパス
- Year and Date
  2009-10-16
- Data Source
  KAKENHI-PROJECT-20540004

1. NAKAMURA Tetsuo (90016147)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
2. SATO Atsusi (30241516)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
3. FUJITA Yasutsugu (50514163)

# of Collaborated Projects : 1results

# of Collaborated Products : 1results
4. 太刀川弘幸 (20015473)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
5. 森下和彦 (10254905)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
6. 井上弘 (50146148)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
7. 川島俊雄 (60129020)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
8. 宇内泰 (60048907)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
9. NARA Tadahisa

# of Collaborated Projects : 1results

# of Collaborated Products : 0results

Terai Nobuhiro 寺井 伸浩

TERAI Nobuhiro 寺井 伸浩

Research Projects

Research Products

Co-Researchers

Study on exponential Diophantine equations related toPrincipal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on integer solutions of exponential Diophantine equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rational points and integer points on elliptic curves and the related Diophantine equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Complex multiplication of elliptic curves and abelian varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

多元環の表現論および関連する分野の研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On the exponential Diophantine equation (3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the exponential Diophantine equation a^x+lb^y=c^z2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the exponential Diophantine equation (12m^2 + 1)^x + (13m^2-1)^y = (5m)^z2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Jesmanowicz' conjecture concerning primitive Pythagorean triples II2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On exponential Diophantine equations containing the Euler quotient2015

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generators and integer points on the elliptic curve y^2=x^3-nx2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Integer points and independent points on ellpitic curve y^2=x^3-p^k x2011

Author(s)

Journal Title

Data Source

[Journal Article] Integer points and independent points on the elliptic curve y^2=x^3-p^kx

Author(s)

Journal Title

Data Source

[Presentation] 一般化されたRamanujan-Nagell方程式 x^2+(2c-1)^m=c^n について2018

Author(s)

Organizer

Data Source

[Presentation] 指数型不定方程式 a^x+lb^y=c^z について2017

Author(s)

Organizer

Terai Nobuhiro 寺井伸浩

TERAI Nobuhiro 寺井伸浩