Terai Nobuhiro 寺井伸浩

… Alternative Names

寺井伸浩テライノブヒロ

TERAI Nobuhiro 寺井伸浩

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Researcher Number	00236978
Other IDs
Affiliation (Current)	2022: 大分大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2022: 大分大学, 理工学部, 教授 2017 – 2020: 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 Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Algebra
Keywords	Principal Investigator 指数型不定方程式 / Jesmanowicz予想 / Baker理論 / 整数解 / Ramanujan-Nagell方程式 / Terai予想 / 一般化されたFermat方程式 / 楕円曲線 / 数論 / 不定方程式 / 一般化された Fermat 方程式 … More Except Principal Investigator … More 楕円曲線 / 整数点 / 多元環 / コホモロジー / 局所環 / 表現論 / 中山の予想 / 虚数乗法 / アーベル多様体 / トーション / 類数 / モルデル・ヴェイユ群 / 代数体 / アーベル曲面 / Mordell-weil群 / 有理点 / 不定方程式 / モーデルヴェイユ群 / 生成元 / 連立ペル方程式 / 楕円曲線の Mordell-Weil 群 / 楕円曲線の整数点 / ディオファンタスの m 組 / 国際情報交換 / ルーマニア・クロアチア・アメリカ / クロアチア：アメリカ：ルーマニア Less

Study on the generalized Ramanujan-Nagell equationsPrincipal Investigator
- Principal Investigator
  
  寺井伸浩
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Oita University
Study on exponential Diophantine equations related toPrincipal Investigator
- Principal Investigator
  
  寺井伸浩
- Project Period (FY)
  2018 – 2021
- 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
  
  Terai Nobuhiro
- 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 2021 2020 2019 2018 2017 2016 2015 2013 2011 2009 Other

All Journal Article Presentation

[Journal Article] On the generalized Ramanujan-Nagell equation x^2 + (2c － 1)^m = c^n2020
- Author(s)
  Yasutsugu Fujita, Nobuhiro Terai
- Journal Title
  
  Acta Math. Hungar.
  
  Volume: 162 Pages: 518-526
- DOI
  10.1007/s10474-020-01085-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03247
[Journal Article] On the exponential Diophantine equation (4m^2 + 1)^x + (21m^2 － 1)^y = (5m)^z2020
- Author(s)
  Nobuhiro Terai
- Journal Title
  
  Annales Mathematicae et Informaticae
  
  Volume: 52 Pages: 243-253
- DOI
  10.33039/ami.2020.01.003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03247
[Journal Article] On the exponential Diophantine equation (3m^2 + 1)^x + (qm^2 － 1)^y = (rm)^z2020
- Author(s)
  Nobuhiro Terai, Yoshiki Shinsho
- Journal Title
  
  SUT J. Math.
  
  Volume: 56 Pages: 147-158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03247
[Journal Article] A study on the exponential Diophantine equation a^x + (a + b)^y = b^z2019
- Author(s)
  Takafumi Miyazaki, Nobuhiro Terai
- Journal Title
  
  Publ. Math. Debrecen
  
  Volume: 95 Pages: 19-37
- DOI
  10.5486/pmd.2019.8283
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03247
[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 / Acknowledgement Compliant / 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 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 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] On the generalized Ramanujan-Nagell equation x^2 + (c^2 － 1)^m = c^n2021
- Author(s)
  寺井伸浩
- Organizer
  第144 回日本数学会九州支部例会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] ラマヌジャンを楽しむ - 指数型不定方程式の不思議な世界2021
- Author(s)
  寺井伸浩
- Organizer
  数理情報科学さくらセミナー2021 (於鹿児島大学理学部+Zoomによるオンライン開催)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] 約数関数σ(n) とオイラー関数φ(n) を含む不定方程式の整数解について2020
- Author(s)
  寺井伸浩
- Organizer
  日本応用数理学会第16 回研究部会連合発表会(於中央大後楽園キャンパス)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] On the Diophantine equation x^2+b^m=c^n with a^2+b^4=c^22019
- Author(s)
  寺井伸浩
- Organizer
  大分数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] 指数型不定方程式 a^x + b^y = c^z について2019
- Author(s)
  寺井伸浩
- Organizer
  松江数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] 指数型不定方程式 a^x + b^y = c^z と x^2 + b^m = c^n の最近の進展について2019
- Author(s)
  寺井伸浩
- Organizer
  第64 回代数学シンポジウム (於東北大学大学院情報科学研究科棟)
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] ピタゴラスから拡がる指数型不定方程式の世界2019
- Author(s)
  寺井伸浩
- Organizer
  数理情報科学さくらセミナー2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] 階乗と冪を含む不定方程式について2018
- Author(s)
  寺井伸浩
- Organizer
  北陸数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] 指数型不定方程式 (3pm^2-1)^x+(p(p-3)m^2+1)^y=(pm)^z について2018
- Author(s)
  寺井伸浩
- Organizer
  第139回日本数学会九州支部例会
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[Presentation] On the generalized Ramanujan-Nagell equation x^2 + (2c-1)^m = c^n2018
- Author(s)
  寺井伸浩
- Organizer
  群大桐生数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K03247
[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] 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] 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 (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 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: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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7. 川島俊雄 (60129020)

# of Collaborated Projects: 1 results

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8. 宇内泰 (60048907)

# of Collaborated Projects: 1 results

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9. NARA Tadahisa

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Terai Nobuhiro 寺井 伸浩

寺井 伸浩 テライ ノブヒロ

TERAI Nobuhiro 寺井 伸浩

Research Projects

Research Products

Co-Researchers

Study on the generalized Ramanujan-Nagell equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on exponential Diophantine equations related toPrincipal Investigator

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 generalized Ramanujan-Nagell equation x^2 + (2c － 1)^m = c^n2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the exponential Diophantine equation (4m^2 + 1)^x + (21m^2 － 1)^y = (5m)^z2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the exponential Diophantine equation (3m^2 + 1)^x + (qm^2 － 1)^y = (rm)^z2020

Author(s)

Journal Title

Data Source

[Journal Article] A study on the exponential Diophantine equation a^x + (a + b)^y = b^z2019

Author(s)

Journal Title

DOI

Data Source

[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 Jesmanowicz' conjecture concerning primitive Pythagorean triples II2015

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

Terai Nobuhiro 寺井伸浩

寺井伸浩テライノブヒロ

TERAI Nobuhiro 寺井伸浩