• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Fujita Yasutsugu  藤田 育嗣

… Alternative Names

FUJITA Yasutsugu  藤田 育嗣

Less
Researcher Number 50514163
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-7985-9667
Affiliation (Current) 2025: 日本大学, 生産工学部, 教授
Affiliation (based on the past Project Information) *help 2024: 日本大学, 生産工学部, 教授
2016 – 2020: 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 / Basic Section 11010:Algebra-related
Keywords
Principal Investigator
ディオファンタスの m 組 / 楕円曲線の Mordell-Weil 群 / 連立ペル方程式 / 不定方程式 / 楕円曲線 / ラマヌジャン・ナーゲル型方程式 / ディオファントスのm組 / 楕円曲線のMordell-Weil群 / ディオファンタスのm組 / クロアチア:アメリカ:ルーマニア … More / ルーマニア・クロアチア・アメリカ / 国際情報交換 / 楕円曲線の整数点 / 整数点 / 生成元 / モーデルヴェイユ群 Less
  • Research Projects

    (3 results)
  • Research Products

    (38 results)
  • Co-Researchers

    (4 People)
  •  Study on Diophantine m-tuples and Ramanujan-Nagell type equationsPrincipal Investigator

    • Principal Investigator
      藤田 育嗣
    • Project Period (FY)
      2024 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Nihon University
  •  Explicit solutions to Diophantine equations attached to families of elliptic curvesPrincipal Investigator

    • Principal Investigator
      FUJITA Yasutsugu
    • 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 2021 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 triples with largest two elements in common2021

    • Author(s)
      Mihai Cipu, Andrej Dujella and Yasutsugu Fujita
    • Journal Title

      Periodica Mathematica Hungarica

      Volume: 82 Issue: 1 Pages: 56-68

    • DOI

      10.1007/s10998-020-00331-4

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05079
  • [Journal Article] Uniqueness of Solutions to Simultaneous Pell Equations2021

    • Author(s)
      Yasutsugu Fujita and Maohua Le
    • Journal Title

      Bulletin of the Malaysian Mathematical Sciences Society

      Volume: 44 Issue: 1 Pages: 393-405

    • DOI

      10.1007/s40840-020-00959-y

    • 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] 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] Generators and integral points on certain quartic curves2019

    • Author(s)
      Yasutsugu Fujita and Tadahisa Nara
    • Journal Title

      Glasnik Matematicki Series III

      Volume: 54 Issue: 2 Pages: 321-343

    • DOI

      10.3336/gm.54.2.04

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05079
  • [Journal Article] An infinite two-parameter family of Diophantine triples2019

    • Author(s)
      Mihai Cipu, Alan Filipin and Yasutsugu Fujita
    • Journal Title

      Acta Arithmetica

      Volume: 印刷中 Issue: 1 Pages: 481-498

    • DOI

      10.1007/s40840-018-0695-9

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      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 Issue: 1-2 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 Issue: 03 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 Issue: 3 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] The regularity of Diophantine quadruples2017

    • Author(s)
      Yasutsugu Fujita, Takafumi Miyazaki
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 印刷中 Issue: 6 Pages: 3803-3831

    • DOI

      10.1090/tran/7069

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-16K17557, 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 Issue: 2 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 Issue: 1-2 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 Issue: 1 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] Jeśmanowicz' conjecture with congruence relations II2014

    • Author(s)
      Yasutsugu Fujita and Takafumi Miyazaki
    • Journal Title

      Canadian Mathematical Bulletin

      Volume: (印刷中) Issue: 3 Pages: 495-505

    • 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 Issue: 2 Pages: 227-239

    • 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 Issue: 5 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 Issue: 4 Pages: 333-348

    • DOI

      10.4064/aa160-4-3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400025
  • [Presentation] 非正則なディオファンタスの 4 組の個数の評価2020

    • Author(s)
      藤田育嗣
    • Organizer
      2020大分整数論研究集会
    • Data Source
      KAKENHI-PROJECT-16K05079
  • [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.  川島 誠 (70818129)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  NARA Tadahisa
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 4.  宮崎 隆史
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 2 results

URL: 

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi