Fujita Yasutsugu
| Department of Liberal Arts and Basic Sciences | Professor |
Researcher Information
Career
Research activity information
Paper
- Diophantine triples with three parameters
Mihai Cipu; Yasutsugu Fujita; Maurice Mignotte
Research in Number Theory, Apr. 2024
Corresponding - On the length of $D(\pm 1)$‐tuples in imaginary quadratic rings
Mihai Cipu; Yasutsugu Fujita
Bulletin of the London Mathematical Society, Jan. 2024, Refereed
Corresponding - A note on the solution to the generalized Ramanujan–Nagell equation $$x^2+(4c)^y=(c+1)^z$$
Yasutsugu Fujita; Maohua Le; Nobuhiro Terai
Indian Journal of Pure and Applied Mathematics, Dec. 2023, Refereed
Lead - The non-existence of D(−1)-quadruples extending certain pairs in imaginary quadratic rings
Y. Fujita; I. Soldo
Acta Mathematica Hungarica, Jul. 2023, Refereed, Not invited
Lead - A note on the ternary purely exponential Diophantine equation f^x+(f+g)^y=g^z
Yasutsugu Fujita; Maohua Le; Nobuhiro Terai
Tsukuba Journal of Mathematics, Jul. 2023, Refereed
Lead - Uniqueness conjecture on simultaneous Pell equations
Yasutsugu Fujita; Maohua Le
Acta Arithmetica, Apr. 2023, Refereed, Not invited
Lead - A NOTE ON THE NUMBER OF SOLUTIONS OF TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATIONS
YASUTSUGU FUJITA; MAOHUA LE and NOBUHIRO TERAI
Bulletin of the Australian Mathematical Society, Feb. 2023, Refereed, Not invited
Lead - A note on the number of solutions of the Pillai type equation |a^x-b^y|=k
Yasutsugu Fujita and Maohua Le
Journal of Number Theory, Oct. 2022, Refereed, Not invited
Lead - Some exponential Diophantine equations attached to Pythagorean triples
Yasutsugu Fujita; Maohua Le and Nobuhiro Terai
Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Sep. 2022, Refereed, Not invited
Lead - On exponential Diophantine equations concerning Pythagorean triples
Nobuhiro Terai and Yasutsugu Fujita
Publicationes Mathematicae Debrecen, Aug. 2022, Refereed, Not invited
Last - A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$
Yasutsugu FUJITA and Maohua LE
Turkish Journal of Mathematics, Jul. 2022, Refereed
Lead - Extensions of a Diophantine triple by adjoining smaller elements
Mihai Cipu; Andrej Dujella and Yasutsugu Fujita
Mediterranean Journal of Mathematics, Jul. 2022, Refereed, Not invited
Corresponding - Some exponential Diophantine equations II : The equation x^2-Dy^2=k^z for even k
Yasutsugu Fujita and Maohua Le
Mathematica Slovaca, Apr. 2022, Refereed, Not invited
Lead - On a conjecture concerning the generalized Ramanujan-Nagell equation
Yasutsugu Fujita and Maohua Le
Journal of Combinatorics and Number Theory, Feb. 2022, Refereed
Lead - D(−1)-tuples in the ring Z[√−k] with k > 0
Yasutsugu Fujita and Ivan Soldo
Publicationes Mathematicae Debrecen, Jan. 2022, Refereed, Not invited
Lead - A note on the polynomial-exponential Diophantine equation (a^n − 1)(b^n − 1) = x^2
Yasutsugu Fujita and Maohua Le
Notes on Number Theory and Discrete Mathematics, Sep. 2021, Refereed, Not invited - A note on Je'smanowicz' conjecture concerning non-primitive Pythagorean triples
Yasutsugu Fujita and Maohua Le
Bulletin of the Australian Mathematical Society, Aug. 2021, Refereed, Not invited
Lead - Dem’janenko’s Theorem on Jeśmanowicz’ Conjecture Concerning Pythagorean Triples Revisited
Yasutsugu Fujita and Maohua Le
Bulletin of the Malaysian Mathematical Sciences Society, Jun. 2021, Refereed, Not invited
Lead - The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple
Yasutsugu Fujita
Contemporary Mathematics, May 2021, Refereed, Not invited
Lead - Diophantine triples with largest two elements in common
Mihai Cipu; Andrej Dujella and Yasutsugu Fujita
Periodica Mathematica Hungarica, Mar. 2021, Refereed, Not invited
Corresponding - Uniqueness of Solutions to Simultaneous Pell Equations
Yasutsugu Fujita and Maohua Le
Bulletin of the Malaysian Mathematical Sciences Society, Jan. 2021, Refereed, Not invited
Lead - On The Generalized Ramanujan–Nagell Equation x^2+(2c−1)^m=c^n
Yasutsugu Fujita and Nobuhiro Terai
Acta Mathematica Hungarica, Oct. 2020, Refereed, Not invited
Lead - Diophantine pairs that induce certain Diophantine triples
Mihai Cipu; Alan Filipin and Yasutsugu Fujita
Journal of Number Theory, May 2020, Refereed, Not invited
Corresponding - An Infinite Two-Parameter Family of Diophantine Triples
Mihai Cipu; Alan Filipin and Yasutsugu Fujita
Bulletin of the Malaysian Mathematical Sciences Society, Jan. 2020, Refereed, Not invited
Corresponding - Generators and integral points on certain quartic curves
Yasutsugu Fujita and Tadahisa Nara
Glasnik Matematicki Series III, Dec. 2019, Refereed, Not invited
Lead - There are no Diophantine quadruples of Fibonacci numbers
Yasutsugu Fujita and Florian Luca
Acta Arithmetica, Oct. 2018, Refereed, Not invited
Lead - On the number of extensions of a Diophantine triple
Mihai Cipu; Yasutsugu Fujita; Takafumi Miyazaki
International Journal of Number Theory, Apr. 2018, Refereed, Not invited
Corresponding - Two-parameter families of uniquely extendable Diophantine triples
Mihai Cipu; Yasutsugu Fujita; Maurice Mignotte
Science China Mathematics, Mar. 2018, Refereed, Not invited
Corresponding - The Mordell-Weil bases for the elliptic curve of the form y2 = x3 - m2x + n2
Yasutsugu Fujita; Tadahisa Nara
Publicationes Mathematicae, 2018, Refereed, Not invited
Lead - The regularity of diophantine quadruples
Yasutsugu Fujita; Takafumi Miyazaki
Transactions of the American Mathematical Society, 2018, Refereed, Not invited - ON DIOPHANTINE QUADRUPLES OF FIBONACCI NUMBERS
Yasutsugu Fujita; Florian Luca
GLASNIK MATEMATICKI, 2017, Refereed, Not invited - Bounds for Diophantine quintuples II
Mihai Cipu; Alan Filipin; Yasutsugu Fujita
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, Refereed, Not invited
Corresponding - Generators and integral points on twists of the Fermat cubic
Yasutsugu Fujita; Tadahisa Nara
ACTA ARITHMETICA, 2015, Refereed, Not invited
Corresponding - BOUNDS FOR DIOPHANTINE QUINTUPLES
Mihai Cipu; Yasutsugu Fujita
GLASNIK MATEMATICKI, 2015, Refereed, Not invited
Corresponding - The extendibility of Diophantine pairs II: Examples
Alan Filipin; Yasutsugu Fujita; Alain Togbe
JOURNAL OF NUMBER THEORY, Dec. 2014, Refereed, Not invited
Corresponding - On Diophantine quintuples and D(-1)-quadruples
Christian Elsholtz; Alan Filipin; Yasutsugu Fujita
MONATSHEFTE FUR MATHEMATIK, Oct. 2014, Refereed, Not invited - Jesmanowicz' Conjecture with Congruence Relations. II
Yasutsugu Fujita; Takafumi Miyazaki
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, Sep. 2014, Refereed, Not invited - Generators for congruent number curves of ranks at least two and three
Yasutsugu Fujita
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, Sep. 2014, Refereed, Not invited - THE EXTENDIBILITY OF DIOPHANTINE PAIRS I: THE GENERAL CASE
Alan Filipin; Yasutsugu Fujita; Alain Togbe
GLASNIK MATEMATICKI, 2014, Refereed, Not invited
Corresponding - Generators for the elliptic curve y^2=x^3-nx of rank at least three
Yasutsugu Fujita
Journal of Number Theory, May 2013, Refereed, Not invited
Lead - The number of Diophantine quintuples II
Alan Filipin; Yasutsugu Fujita
Publicationes Mathematicae Debrecen, Feb. 2013, Refereed, Not invited
Corresponding - Generators and integer points on the elliptic curve y2 = x 3 - nx
Yasutsugu Fujita; Nobuhiro Terai
Acta Arithmetica, 2013, Refereed, Not invited
Lead - Jeśmanowicz' conjecture with congruence relations
Yasutsugu Fujita; Takafumi Miyazaki
Colloquium Mathematicum, Nov. 2012, Refereed, Not invited
Lead - The extension of the D(-k^2)-pair {k^2,k^2+1}
Yasutsugu Fujita and Alain Togbe
Periodica Mathematica Hungarica, Sep. 2012, Refereed, Not invited
Lead - The non-extendibility of some parametric families of D(-1)-triples
Alan Filipin; Yasutsugu Fujita; Maurice Mignotte
Quarterly Journal of Mathematics, Sep. 2012, Refereed, Not invited
Corresponding - On the rank of the elliptic curve y^2=x^3-nx
Yasutsugu Fujita and Nobuhiro Terai
International Journal of Algebra, Jul. 2012, Refereed, Not invited
Lead - The relative upper bound for the third element in a D(-1)-quadruple
Alan Filipin and Yasutsugu Fujita
Mathematical Communications, Jun. 2012, Refereed, Not invited
Corresponding - On the Mordell-Weil group of the elliptic curve y^2=x^3+n
Yasutsugu Fujita; Tadahisa Nara
Journal of Number Theory, Mar. 2012, Refereed, Not invited
Lead - Integer points and independent points on the elliptic curve y^2=x^3-p^kx
Yasutsugu Fujita and Nobuhiro Terai
Tokyo Journal of Mathematics, Dec. 2011, Refereed, Not invited
Lead - Uniqueness of the extension of the D(4k^2)-triple {k^2-4, k^2, 4k^2-4}
Yasutsugu Fujita; Alain Togbe
Notes on Number Theory and Discrete Mathematics, Dec. 2011, Refereed, Not invited
Lead - The D(-k^2)-triple {1,k^2+1,k^2+4} with k prime
Alan Filipin; Yasutsugu Fujita
Glasnik Matematicki, Dec. 2011, Refereed, Not invited
Corresponding - Generators for the elliptic curve y^2=x^3-nx
Yasutsugu Fujita; Nobuhiro Terai
Journal de theorie nombres de Bordeaux, Aug. 2011, Refereed
Lead - The number of D(-1)-quadruples
Alan Filipin and Yasutsugu Fujita
Mathematical Communications, Dec. 2010, Refereed, Not invited
Corresponding - Infinitely many insolvable Diophantine equations II
Yasutsugu Fujita and Noriaki Kimura
Notes on Number Theory and Discrete Mathematics, Aug. 2010, Refereed, Not invited
Lead - The number of Diophantine quintuples
Yasutsugu Fujita
Glasnik Matematicki, Jun. 2010, Refereed, Not invited
Lead - The Hoggatt-Bergum conjecture on the D(-1)-triples {F_{2k+1},F_{2k+3},F_{2k+5 } } and integer points on the attached elliptic curves
Yasutsugu Fujita
Rocky Mountain Journal of Mathematics, Dec. 2009, Refereed, Not invited
Lead - Extensions of the D(\mp k^2)-triples {k^2,k^2±1,4k^2±1}
Yasutsugu Fujita
Periodica Mathematica Hungarica, Sep. 2009, Refereed, Not invited
Lead - Any polynomial D(4)-quadruple is regular
Yasutsugu Fujita and Alan Filipin
Math. Commun., May 2008, Refereed, Not invited
Lead - Any Diophantine quintuple contains a regular Diophantine quadruple
Yasutsugu Fujita
Proceedings of Algebra and Computation 2007, May 2008, Refereed, Not invited
Lead - The extensibility of Diophantine pairs {k-1,k+1}
Yasutsugu Fujita
Journal of Number Theory, Feb. 2008, Refereed, Not invited
Lead - Diophantine quadruples containing some triples and the number of Diophantine quintuples
Yasutsugu Fujita
AIP Conference Proceedings, 2008, Not refereed, Not invited
Lead - Torsion on elliptic curves in isogeny classes
Yasutsugu Fujita; Nakamura Tetsuo
Trans.Amer.Math.Soc., Sep. 2007, Refereed, Not invited
Lead - The D(1)-extensions of D(-1)-triples {1,2,c} and integer points on the attached elliptic curves
Yasutsugu Fujita
Acta Arithmetica, Jun. 2007, Refereed, Not invited
Lead - The extensibility of D(-1)-triples {1,b,c}
Yasutsugu Fujita
Publ. Math. Debrecen, Jan. 2007, Refereed, Not invited
Lead - The non-extensibility of D(4k)-triples {1,4k(k-1),4k^2+1} with |k| prime
Yasutsugu Fujita
Glas. Mat. Ser. III, Dec. 2006, Refereed, Not invited
Lead - The unique representation d=4k(k^2-1) in D(4)-quadruples {k-2,k+2,4k,d}
Yasutsugu Fujita
Math. Commun., Aug. 2006, Refereed, Not invited
Lead - The 2-primary torsion of elliptic curves in the Z_p-extensions of Q
Yasutsugu Fujita
Manuscripta Math., Oct. 2005, Refereed, Not invited
Lead - Torsion subgroups of elliptic curves in elementary abelian 2-extensions of Q
Yasutsugu Fujita
Journal of Number Theory, Sep. 2005, Refereed, Not invited
Lead - Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q
Yasutsugu Fujita
Acta Arithmetica, Oct. 2004, Refereed, Not invited
Lead - Torsion of elliptic curves over number fields
Yasutsugu Fujita
Tohoku Math. Publ., Mar. 2003, Refereed, Not invited
Lead
MISC
- The unique extensions of two parametric families of Diophantine triples
Mihai Cipu; Yasutsugu Fujita and Maurice Mignotte
RIMS Kokyuroku, Nov. 2021, Not refereed, Not invited
Corresponding - Recent Progress on Diophantine m-tuples
Yasutsugu Fujita
日本大学生産工学部研究報告A, Jun. 2017, Refereed, Not invited
Lead - Extendabilities of a Diophantine triple to quadruples
Yasutsugu Fujita; Takafumi Miyazaki
RIMS Kôkyûroku, Jan. 2017, Not refereed, Not invited
Lead - Generators for the elliptic curve y(2)=x(3)-nx II
Yasutsugu Fujita; Nobuhiro Terai
DIOPHANTINE ANALYSIS AND RELATED FIELDS 2011 (DARF 2011), 2011, Not refereed, Not invited - Generators for the elliptic curve y^2=x^3-nx
Yasutsugu Fujita; Nobuhiro Terai
AIP Conference Proceedings, Aug. 2010, Not refereed, Not invited
Lead - Generators for the elliptic curve E:y^2=x^3-nx
Nobuhiro Terai
Proceedings of Algebra and Computation 2009, Jul. 2010, Not refereed
Lead - The extensibility of Diophantine pairs {k-1,k+1}
Yasutsugu Fujita
京都大学数理解析研究所講究録, Oct. 2006, Not refereed, Not invited
Lead - Diophantine m-tuples and simultaneous Pell equations
藤田育嗣
仙台数論及び組合せ論小研究集会 2004 報告集, Mar. 2005, Not refereed, Not invited
Lead - Torsion subgroups of elliptic curves in elementary abelian 2-extensions of Q
Yasutsugu Fujita
京都大学数理解析研究所講究録, May 2004, Not refereed, Not invited
Lead
Books and other publications
- Analytic Number Theory and Related Areas RIMS Kôkyûroku
Editor, editing, Shin-ya Kadota; etc
Research Institute for Mathematical Sciences, Nov. 2018 - 計算力をつける微分積分 問題集
神永正博; 藤田育嗣, Joint work, 神永正博
内田老鶴圃, Apr. 2013, Not refereed - 計算力をつける微分方程式
藤田育嗣; 間田潤, Joint work, 間田潤
内田老鶴圃, Dec. 2011, Not refereed - Basic Mathematics for Calculus
永井敦; 藤田育嗣; 武村一雄, Joint work, 永井敦,武村一雄
裳華房, Mar. 2011, Not refereed - 計算力をつける微分積分
神永正博; 藤田育嗣, Joint work, 神永正博
内田老鶴圃, Mar. 2008, Not refereed
Lectures, oral presentations, etc.
- Bounding the size of $D(\pm 1)$-tuples in imaginary quadratic rings
Yasutsugu Fujita
Diophantine Analysis and Related Fields 2024, Mar. 2024, Not invited - Simultaneous Pell equations having at most one positive solution
Yasutsugu Fujita
Number Theory Workshop at Waseda University, Mar. 2023, 早稲田大学数理科学研究所, Not invited - Conjectures on the generalized Ramanujan-Nagell equation x^2+D^m=k^n
藤田育嗣
2022大分熊本整数論研究集会, Sep. 2022, 寺井伸浩（大分大学），日比野剛士（崇城大学）, Not invited - Integral points and generators for the Mordell-Weil groups of elliptic curves
Yasutsugu Fujita
DARF Seminar, May 2021, 秋山 茂樹 (筑波大学),天羽 雅昭 (群馬大学),平田 典子 (日本大学理工学部),桂田 昌紀 (慶應義塾大学経済学部),田中 孝明 (慶應義塾大学理工学部),安福 悠 (日本大学理工学部),金子 元 (筑波大学), Not invited - Estimate on the number of irregular Diophantine quadruples
Yasutsugu Fujita
2020大分整数論研究集会, Oct. 2020, 大分大学 理工学部 共創理工学科 数理科学コース 寺井伸浩, Not invited - The regularity of extensions of Diophantine triples or pairs
Yasutsugu Fujita
Representation Theory XVI, Jun. 2019, Andrej Dujella, Invited - Non-existence of Diophantine quadruples consisting of Fibonacci numbers
Yasutsugu Fujita
Diophantine Analysis and Related Fields 2019, Mar. 2019, Shigeki Akiyama, etc, Not invited - Simultaneous Diophantine triples and quadruples
Yasutsugu Fujita
Conference on Diophantine m-tuples and Related Problems II, Oct. 2018, Alain Togbe, Invited - Bounds for irregular Diophantine quadruples
Yasutsugu Fujita
Diophantine Analysis and Related Fields 2017, Jan. 2017, 秋山 茂樹 (筑波大学) 天羽 雅昭 (群馬大学) 岡崎 龍太郎 (東京大学非常勤講師) 桂田 昌紀 (慶應義塾大学) 平田 典子 (日本大学理工学部) 村田 玲音 (明治学院大学) 安福 悠 (日本大学理工学部）, Not invited - The unique extensions of two parametric families of Diophantine triples
Yasutsugu Fujita
Problems and prospects in Analytic Number Theory, Oct. 2016, Hideaki Ishikawa (Shimane University) Yasutsugu Fujita（Nihon University）, Not invited - The unique extensions of two parametric families of Diophantinetriples
Yasutsugu Fujita
Problems and prospects in Analytic Number Theory, Oct. 2016, Hideaki Ishikawa (Shimane University)Yasutsugu Fujita（Nihon University）, Not invited - Extendabilities of a Diophantine triple to quadruples
Yasutsugu Fujita
Analytic Number Theory and Related Areas, Nov. 2015, Yuichi Kamiya, Hideaki Ishikawa, Not invited - Bounds for Diophantine quintuples
Yasutsugu Fujita
Diophantine Analysis and Related Fields 2015, Mar. 2015, Masaaki Amou, Not invited - Diophantine quintuples: Bounds on the elements and the number
Yasutsugu Fujita
Conference on Diophantine m-tuples and related problems, Nov. 2014, Alain Togbe, Invited - Generators for twists of Fermat's cubic and congruent number curves
Yasutsugu Fujita; Tadahisa Nara
Diophantine analysis and related fields 2014, Mar. 2014, Not invited - Properties of Diophantine quintuples
成蹊大セミナー, Mar. 2013, Not invited - Recent progress on Diophantine tuples
電通大数論セミナー, Jan. 2013, Not invited - Generators and integer points on the elliptic curve y^2=x^3-nx
Nobuhiro Terai
Diophantine analysis and related fields 2012, Jan. 2012, Not invited - On the Mordell-Weil group of the elliptic curve y^2=x^3+n
Tadahisa Nara
日本数学会秋季総合分科会, Sep. 2011, Not invited - Generators for the elliptic curve y^2=x^3-nx II
Diophantine analysis and related fields 2011, Mar. 2011, Not invited - Diophantine m-tuples -Solutions to simultaneous Pell equations-
日本大学生産工学部第 43 回学術講演会, Dec. 2010, Not invited - Generators for the elliptic curve y^2=x^3-nx
Diophantine Analysis and Related Fields 2010, Mar. 2010, Not invited - Generators for the elliptic curve E:y^2=x^3-nx
Nobuhiro Terai
8-th Symposium on Algebra and Computation (AC2009), Dec. 2009, Ken Nakamula (Tokyo Metropolitan Univ.) Katsushi Waki (Yamagata Univ.) Hirofumi Tsumura (Tokyo Metropolitan Univ.) Shigenori Uchiyama (Tokyo Metropolitan Univ.), Not invited - Diophantine quadruples containing some triples and the number of Diophantine quintuples
Diophantine Analysis and Related Fields 2008, Mar. 2008, Not invited - Diophantin m-tuples
藤田育嗣
東北数論研究集会 ---中村哲男先生退職記念---, Jan. 2008, Not invited - Any Diophantine quintuple contains a regular Diophantine quadruple
Yasutsugu Fujita
7th Symposium on Algebra and Computation, Dec. 2007, Not invited - Any Diophantine quintuple contains a regular Diophantine quadruple
藤田育嗣
日本数学会 2007年度秋季総合分科会, Sep. 2007, Not invited - Diophantine m-tuples
藤田育嗣
第14回整数論サマースクール, Aug. 2006, Not invited - The extensibility of Diophantine pairs {k-1,k+1}
藤田育嗣
Algebraic Number theory and Related Topics, Dec. 2005, Not invited - The extensibility of Diophantine pairs {k-1,k+1}
Yasutsugu Fujita
Number Theory and Beyond 国際研究集会, Oct. 2005, Not invited - The extensibility of Diophantine pairs {k-1,k+1}
藤田育嗣
首都大整数論セミナー, Jun. 2005, Not invited - Diophantine m-tuples and simultaneous Pell equations
藤田育嗣
仙台数論及び組合せ論小研究集会 2004, Jan. 2005, Not invited - 楕円曲線の初等アーベル 2 拡大における torsion 群
藤田育嗣
東北大学数学教室談話会, Jul. 2004, Not invited - Torsion subgroups of elliptic curves in elementary abelian 2-extensions of Q
藤田育嗣
Algebraic Number Theory and Related Topics, Dec. 2003, Not invited - Torsion on elliptic curves in isogeny classes
藤田育嗣/中村哲男
日本数学会 2003年度秋季総合分科会, Sep. 2003, Not invited - Torsion subgroups of elliptic curves in elementary abelian 2-extensions of Q
藤田育嗣
早稲田大学整数論研究集会, Mar. 2003, Not invited
Research Themes
- Explicit solutions to Diophantine equations attached to families of elliptic curves
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2016 - Mar. 2020
Yasutsutu Fujita - Study on rational points and integer points of elliptic curves and the related Diophantine equations
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2013 - Mar. 2016
FUJITA Yasutsugu; TERAI Nobuhiro; NARA Tadahisa
