Fujita Yasutsugu 藤田育嗣

… Alternative Names

Researcher Number	50514163
Other IDs	https://orcid.org/0000-0001-7985-9667
Affiliation (Current)	2021: 日本大学, 生産工学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2019: 日本大学, 生産工学部, 教授 2013 – 2015: 日本大学, 生産工学部, 准教授
Review Section/Research Field	Principal Investigator Algebra
Keywords	Principal Investigator 楕円曲線 / 不定方程式 / 楕円曲線の Mordell-Weil 群 / ディオファンタスの m 組 / モーデルヴェイユ群 / 生成元 / 整数点 / 連立ペル方程式 / 楕円曲線の整数点 / 国際情報交換 … More

楕円曲線の族に伴う不定方程式の明示解Principal InvestigatorOngoing
- Principal Investigator
  
  藤田育嗣
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Rational points and integer points on elliptic curves and the related Diophantine equationsPrincipal Investigator
- 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

All 2020 2019 2018 2017 2016 2015 2014 2013

All Journal Article Presentation Book

[Book] 解析的整数論とその周辺数理解析研究所講究録 18132018
- Author(s)
  門田慎也他　（藤田育嗣編）
- Total Pages
  225
- Publisher
  数理解析研究所
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Diophantine pairs that induce certain Diophantine triples2020
- Author(s)
  Mihai Cipu, Alan Filipin and Yasutsugu Fujita
- Journal Title
  
  Journal of Number Theory
  
  Volume: 210 Pages: 433-475
- DOI
  10.1016/j.jnt.2019.09.019
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Diophantine triples with largest two elements in common2020
- Author(s)
  Mihai Cipu, Andrej Dujella and Yasutsugu Fujita
- Journal Title
  
  Periodica Mathematica Hungarica
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] An Infinite Two-Parameter Family of Diophantine Triples2020
- Author(s)
  Mihai Cipu, Alan Filipin and Yasutsugu Fujita
- Journal Title
  
  Bulletin of the Malaysian Mathematical Sciences Society
  
  Volume: 印刷中 Pages: 481-498
- DOI
  10.1007/s40840-018-0695-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Generators and integral points on certain quartic curves2019
- Author(s)
  Yasutsugu Fujita and Tadahisa Nara
- Journal Title
  
  Glasnik Matematicki Series III
  
  Volume: 54 Pages: 321-343
- DOI
  10.3336/gm.54.2.04
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] The regularity of Diophantine quadruples2018
- Author(s)
  Yasutsugu Fujita, Takafumi Miyazaki
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 印刷中 Pages: 3803-3831
- DOI
  10.1090/tran/7069
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17557, KAKENHI-PROJECT-16K05079
[Journal Article] The Mordell--Weil bases for the elliptic curve of the form y^2=x^3-m^2x+n^22018
- Author(s)
  Yasutsugu Fujita and Tadahisa Nara
- Journal Title
  
  Publicationes Mathematicae Debrecen
  
  Volume: 92 Pages: 79-99
- DOI
  10.5486/pmd.2018.7719
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] On the number of extensions of a Diophantine triple2018
- Author(s)
  Mihai Cipu, Yasutsugu Fujita, Takafumi Miyazaki
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 14 Pages: 899-917
- DOI
  10.1142/s1793042118500549
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17557, KAKENHI-PROJECT-16K05079
[Journal Article] Two-parameter families of uniquely extendable Diophantine triples2018
- Author(s)
  Mihai Cipu, Yasutsugu Fujita and Maurice Mignotte
- Journal Title
  
  Science China Mathematics
  
  Volume: 61 Pages: 421-438
- DOI
  10.1007/s11425-015-0638-0
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] There are no Diophantine quadruples of Fibonacci numbers2018
- Author(s)
  Yasutsugu Fujita and Florian Luca
- Journal Title
  
  Acta Arithmetica
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] On Diophantine quadruples of Fibonacci numbers2017
- Author(s)
  Yasutsugu Fujita and Florian Luca
- Journal Title
  
  Glasnik Matematicki Series III
  
  Volume: 52 Pages: 221-234
- DOI
  10.3336/gm.52.2.02
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Mordell-Weil bases for the elliptic curve of the form y＾2=x＾3-m＾2x+n＾22017
- Author(s)
  Yasutsugtu Fujita and Tadahisa Nara
- Journal Title
  
  Publicationes Mathematicae Debrecen
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Two-parameter families of uniquely extendable Diophantine triples2017
- Author(s)
  Mihai Cipu, Yasutsugu Fujita and Maurice Mignotte
- Journal Title
  
  Science China Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Diophantus の3 組の4 組への拡張可能性2017
- Author(s)
  藤田育嗣，宮崎隆史
- Journal Title
  
  RIMS 研究集会報告集
  
  Volume: - Pages: 111-123
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] ディオファントスのm組に関する最近の進展2017
- Author(s)
  藤田育嗣
- Journal Title
  
  日本大学生産工学部研究報告A
  
  Volume: 50 Pages: 71-74
- NAID
  40021254133
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] ディオファントスの m 組に関する最近の進展2017
- Author(s)
  藤田育嗣
- Journal Title
  
  日本大学生産工学部研究報告A
  
  Volume: 印刷中
- NAID
  40021254133
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K05079
[Journal Article] Bounds for Diophantine quintuples II2016
- Author(s)
  Mihai Cipu, Alan Filipin and Yasutsugu Fujita
- Journal Title
  
  Publicationes Mathematicae Debrecen
  
  Volume: 88 Pages: 59-78
- DOI
  10.5486/pmd.2016.7257
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] Bounds for Diophantine quintuples2015
- Author(s)
  Mihai Cipu and Yasutsugu Fujita
- Journal Title
  
  Glasnik Matematicki Series III
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] Generators and integral points on twists of the Fermat cubic2015
- Author(s)
  Yasutsugu Fujita and Tadahisa Nara
- Journal Title
  
  Acta Arithmetica
  
  Volume: 168 Pages: 1-16
- DOI
  10.4064/aa168-1-1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] The extendibility of Diophantine pairs II: examples2014
- Author(s)
  Alan Filipin, Yasutsugu Fujita and Alain Togbe
- Journal Title
  
  Journal of Number Theory
  
  Volume: 145 Pages: 604-631
- DOI
  10.1016/j.jnt.2014.06.020
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] Jesmanowicz' conjecture with congruence relations II2014
- Author(s)
  Yasutsugu Fujita and Takafumi Miyazaki
- Journal Title
  
  Canadian Mathematical Bulletin
  
  Volume: (印刷中)
- DOI
  10.4153/cmb-2014-020-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-13J00484, KAKENHI-PROJECT-25400025
[Journal Article] Generators for congruent number curves of ranks at least two and three2014
- Author(s)
  Yasutsugu Fujita
- Journal Title
  
  Journal of the Ramanujan Mathematical Society
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] On Diophantine quintuples and D(-1)-quadruples2014
- Author(s)
  Christian Elsholtz, Alan Filipin and Yasutsugu Fujita
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 印刷中
- DOI
  10.1007/s00605-013-0571-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] The extendibility of Diophantine pairs I: the general case2014
- Author(s)
  Alan Filipin, Yasutsugu Fujita and Alain Togbe
- Journal Title
  
  Glasnik Matematicki
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400025
[Journal Article] Generators for the elliptic curve y^2=x^3-nx of rank at least three2013
- Author(s)
  Yasutsugu Fujita
- Journal Title
  
  Journal of Number Theory
  
  Volume: 133 Pages: 1645-1662
- DOI
  10.1016/j.jnt.2012.10.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25400025
[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
[Presentation] The regularity of extensions of Diophantine triples or pairs2019
- Author(s)
  Yasutsugu Fujita
- Organizer
  Representation Theory XVI
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Presentation] Non-existence of Diophantine quadruples consisting of Fibonacci numbers2019
- Author(s)
  Yasutsugu Fujita
- Organizer
  Diophantine Analysis and Related Fields 2019
- Data Source
  KAKENHI-PROJECT-16K05079
[Presentation] Simultaneous Diophantine triples and quadruples2018
- Author(s)
  Yasutsugu Fujita
- Organizer
  Conference on Diophantine m-tuples and Related Problems II
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05079
[Presentation] Bounds for irregular Diophantine quadruples2017
- Author(s)
  Yasutsugu Fujita
- Organizer
  Diophantine Analysis and Related Fields 2017
- Place of Presentation
  日本大学理工学部駿河台キャンパス　お茶の水校舎
- Data Source
  KAKENHI-PROJECT-16K05079
[Presentation] The unique extensions of two parametric families of Diophantine triples2016
- Author(s)
  Yasutsugu Fujita
- Organizer
  Problems and prospects in Analytic Number Theory
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-16K05079
[Presentation] Bounds for Diophantine quintuples2015
- Author(s)
  Yasutsugu Fujita
- Organizer
  Diophantine Analysis and Related Fields 2015
- Place of Presentation
  桐生市民文化会館
- Year and Date
  2015-03-05
- Data Source
  KAKENHI-PROJECT-25400025
[Presentation] Extendabilities of a Diophantine triple to quadruples2015
- Author(s)
  Yasutsugu Fujita
- Organizer
  Analytic Number Theory and Related Areas
- Place of Presentation
  京都大学数理解析研究所（京都府京都市）
- Year and Date
  2015-11-05
- Data Source
  KAKENHI-PROJECT-25400025
[Presentation] Generators for twists of Fermat's cubic and congruent number curves2014
- Author(s)
  Yasutsugu Fujita and Tadahisa Nara
- Organizer
  Diophantine analysis and related fields 2014
- Place of Presentation
  筑波大学
- Data Source
  KAKENHI-PROJECT-25400025
[Presentation] Diophantine quintuples: Bounds on the elements and the number2014
- Author(s)
  Yasutsugu Fujita
- Organizer
  Conference on Diophantine m-tuples and related problems
- Place of Presentation
  Purdue University, North Central
- Year and Date
  2014-11-13
- Invited
- Data Source
  KAKENHI-PROJECT-25400025

1. TERAI Nobuhiro (00236978)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. NARA Tadahisa

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
3. 宮崎隆史

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results

Fujita Yasutsugu 藤田 育嗣

FUJITA Yasutsugu 藤田 育嗣

Research Projects

Research Products

Co-Researchers

楕円曲線の族に伴う不定方程式の明示解Principal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Rational points and integer points on elliptic curves and the related Diophantine equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 解析的整数論とその周辺 数理解析研究所講究録 18132018

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] Diophantine pairs that induce certain Diophantine triples2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Diophantine triples with largest two elements in common2020

Author(s)

Journal Title

Data Source

[Journal Article] An Infinite Two-Parameter Family of Diophantine Triples2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generators and integral points on certain quartic curves2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The regularity of Diophantine quadruples2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The Mordell--Weil bases for the elliptic curve of the form y^2=x^3-m^2x+n^22018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the number of extensions of a Diophantine triple2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Two-parameter families of uniquely extendable Diophantine triples2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] There are no Diophantine quadruples of Fibonacci numbers2018

Author(s)

Journal Title

Data Source

[Journal Article] On Diophantine quadruples of Fibonacci numbers2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mordell-Weil bases for the elliptic curve of the form y＾2=x＾3-m＾2x+n＾22017

Author(s)

Journal Title

Data Source

[Journal Article] Two-parameter families of uniquely extendable Diophantine triples2017

Author(s)

Journal Title

Data Source

[Journal Article] Diophantus の3 組の4 組への拡張可能性2017

Author(s)

Fujita Yasutsugu 藤田育嗣

FUJITA Yasutsugu 藤田育嗣

[Book] 解析的整数論とその周辺数理解析研究所講究録 18132018