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Author ID: fujita.yasutsugu Recent zbMATH articles by "Fujita, Yasutsugu"
Published as: Fujita, Yasutsugu; Fujita, Y.
Homepage: https://researcher-web.nihon-u.ac.jp/search/detail?systemId=1387a04492ddbabc0292...
External Links: ORCID · ResearchGate · dblp
Documents Indexed: 71 Publications since 2003, including 1 Book
Reviewing Activity: 1 Review
Co-Authors: 15 Co-Authors with 54 Joint Publications
575 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 323 times in 124 Documents Cited by Year
The extensibility of Diophantine pairs \(\{k - 1,k+1\}\). Zbl 1151.11015
Fujita, Yasutsugu
33
2008
Any Diophantine quintuple contains a regular Diophantine quadruple. Zbl 1218.11031
Fujita, Yasutsugu
19
2009
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
19
2014
Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\). Zbl 1087.11038
Fujita, Yasutsugu
18
2005
The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
17
2014
The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
15
2014
The number of Diophantine quintuples. Zbl 1211.11040
Fujita, Yasutsugu
15
2010
Torsion subgroups of elliptic curves with non-cyclic torsion over \({\mathbb Q}\) in elementary abelian 2-extensions of \({\mathbb Q}\). Zbl 1114.11052
Fujita, Yasutsugu
14
2004
The number of Diophantine quintuples II. Zbl 1289.11031
Filipin, Alan; Fujita, Yasutsugu
13
2013
The regularity of Diophantine quadruples. Zbl 1417.11024
Fujita, Yasutsugu; Miyazaki, Takafumi
11
2018
Bounds for Diophantine quintuples. II. Zbl 1363.11048
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
11
2016
Bounds for Diophantine quintuples. Zbl 1364.11078
Cipu, Mihai; Fujita, Yasutsugu
11
2015
On the number of extensions of a Diophantine triple. Zbl 1429.11065
Cipu, Mihai; Fujita, Yasutsugu; Miyazaki, Takafumi
10
2018
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
10
2018
The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves. Zbl 1248.11025
Fujita, Yasutsugu
10
2009
Unique representation \(d=4k(k^2-1)\) in \(D(4)\)-quadruples \(\{k-2,k+2,4k,d\}\). Zbl 1140.11016
Fujita, Yasutsugu
8
2006
The extensibility of \(D(-1)\)-triples \(\{1,b,c\}\). Zbl 1121.11023
Fujita, Yasutsugu
8
2007
The non-extensibility of \(D(4k)\)-triples \(\{1, 4k(k-1), 4k^2+1\}\) with \(|k|\) prime. Zbl 1121.11024
Fujita, Yasutsugu
6
2006
Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\). Zbl 1253.11043
Fujita, Yasutsugu; Terai, Nobuhiro
6
2011
The number of \(D(-1)\)-quadruples. Zbl 1213.11067
Filipin, Alan; Fujita, Yasutsugu
6
2010
On the Mordell-Weil group of the elliptic curve. Zbl 1308.11059
Fujita, Yasutsugu; Nara, Tadahisa
5
2012
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
5
2012
Jeśmanowicz’ conjecture with congruence relations. Zbl 1291.11071
Fujita, Yasutsugu; Miyazaki, Takafumi
4
2012
Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\). Zbl 1199.11073
Fujita, Yasutsugu
4
2009
The \(D(1)\)-extensions of \(D(-1)\)-triples \(\{ 1,2,c \}\) and integer points on the attached elliptic curves. Zbl 1152.11013
Fujita, Yasutsugu
3
2007
Diophantine triples with largest two elements in common. Zbl 1474.11078
Cipu, Mihai; Dujella, Andrej; Fujita, Yasutsugu
3
2021
The Mordell-Weil bases for the elliptic curve of the form \(y^2 = x^3-m^2x + n^2\). Zbl 1413.11081
Fujita, Yasutsugu; Nara, Tadahisa
3
2018
On Diophantine quadruples of Fibonacci numbers. Zbl 1386.11065
Fujita, Yasutsugu; Luca, Florian
3
2017
Generators for the elliptic curve \(y^2=x^3-nx\). Zbl 1228.11081
Fujita, Yasutsugu; Terai, Nobuhiro
3
2011
Diophantine pairs that induce certain Diophantine triples. Zbl 1475.11046
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
2
2020
On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\). Zbl 1474.11097
Fujita, Y.; Terai, N.
2
2020
The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\). Zbl 1274.11078
Fujita, Yasutsugu; Togbé, Alain
2
2012
Jeśmanowicz’ conjecture with congruence relations. II. Zbl 1318.11049
Fujita, Yasutsugu; Miyazaki, Takafumi
2
2014
Generators and integral points on twists of the Fermat cubic. Zbl 1339.11066
Fujita, Yasutsugu; Nara, Tadahisa
2
2015
Generators and integer points on the elliptic curve \(y^2=x^3-nx\). Zbl 1310.11036
Fujita, Yasutsugu; Terai, Nobuhiro
2
2013
The relative upper bound for the third element in a \(D(-1)\)-quadruple. Zbl 1305.11020
Filipin, Alan; Fujita, Yasutsugu
2
2012
Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024
Filipin, Alan; Fujita, Yasutsugu
1
2008
Torsion on elliptic curves in isogeny classes. Zbl 1116.11037
Fujita, Yasutsugu; Nakamura, Tetsuo
1
2007
Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\). Zbl 1491.11034
Fujita, Yasutsugu; Le, Maohua
1
2022
Uniqueness of solutions to simultaneous Pell equations. Zbl 1470.11049
Fujita, Yasutsugu; Le, Maohua
1
2021
An infinite two-parameter family of Diophantine triples. Zbl 1452.11031
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
1
2020
The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple. Zbl 1513.11092
Adžaga, Nikola; Filipin, Alan; Fujita, Yasutsugu
1
2022
A parametric family of ternary purely exponential Diophantine equation \(A^x + B^y = C^z\). Zbl 1517.11026
Fujita, Yasutsugu; Le, Maohua
1
2022
The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple. Zbl 1520.11040
Fujita, Yasutsugu
1
2021
On a conjecture concerning the generalized Ramanujan-Nagell equation. Zbl 1501.11050
Fujita, Yasutsugu; Le, Maohua
1
2020
On the rank of the elliptic curve \(y^2=x^3-nx\). Zbl 1271.11033
Fujita, Yasutsugu; Terai, Nobuhiro
1
2012
The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043
Filipin, Alan; Fujita, Yasutsugu
1
2011
There are no Diophantine quadruples of Fibonacci numbers. Zbl 1441.11058
Fujita, Yasutsugu; Luca, Florian
1
2018
Generators for congruent number curves of ranks at least two and three. Zbl 1316.11043
Fujita, Yasutsugu
1
2014
The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\). Zbl 1132.11029
Fujita, Yasutsugu
1
2005
Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three. Zbl 1295.11060
Fujita, Yasutsugu
1
2013
A note on Jeśmanowicz’ conjecture concerning nonprimitive Pythagorean triples. Zbl 1471.11124
Fujita, Yasutsugu; Le, Maohua
1
2021
Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\). Zbl 1491.11034
Fujita, Yasutsugu; Le, Maohua
1
2022
The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple. Zbl 1513.11092
Adžaga, Nikola; Filipin, Alan; Fujita, Yasutsugu
1
2022
A parametric family of ternary purely exponential Diophantine equation \(A^x + B^y = C^z\). Zbl 1517.11026
Fujita, Yasutsugu; Le, Maohua
1
2022
Diophantine triples with largest two elements in common. Zbl 1474.11078
Cipu, Mihai; Dujella, Andrej; Fujita, Yasutsugu
3
2021
Uniqueness of solutions to simultaneous Pell equations. Zbl 1470.11049
Fujita, Yasutsugu; Le, Maohua
1
2021
The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple. Zbl 1520.11040
Fujita, Yasutsugu
1
2021
A note on Jeśmanowicz’ conjecture concerning nonprimitive Pythagorean triples. Zbl 1471.11124
Fujita, Yasutsugu; Le, Maohua
1
2021
Diophantine pairs that induce certain Diophantine triples. Zbl 1475.11046
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
2
2020
On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\). Zbl 1474.11097
Fujita, Y.; Terai, N.
2
2020
An infinite two-parameter family of Diophantine triples. Zbl 1452.11031
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
1
2020
On a conjecture concerning the generalized Ramanujan-Nagell equation. Zbl 1501.11050
Fujita, Yasutsugu; Le, Maohua
1
2020
The regularity of Diophantine quadruples. Zbl 1417.11024
Fujita, Yasutsugu; Miyazaki, Takafumi
11
2018
On the number of extensions of a Diophantine triple. Zbl 1429.11065
Cipu, Mihai; Fujita, Yasutsugu; Miyazaki, Takafumi
10
2018
Two-parameter families of uniquely extendable Diophantine triples. Zbl 1419.11054
Cipu, Mihai; Fujita, Yasutsugu; Mignotte, Maurice
10
2018
The Mordell-Weil bases for the elliptic curve of the form \(y^2 = x^3-m^2x + n^2\). Zbl 1413.11081
Fujita, Yasutsugu; Nara, Tadahisa
3
2018
There are no Diophantine quadruples of Fibonacci numbers. Zbl 1441.11058
Fujita, Yasutsugu; Luca, Florian
1
2018
On Diophantine quadruples of Fibonacci numbers. Zbl 1386.11065
Fujita, Yasutsugu; Luca, Florian
3
2017
Bounds for Diophantine quintuples. II. Zbl 1363.11048
Cipu, Mihai; Filipin, Alan; Fujita, Yasutsugu
11
2016
Bounds for Diophantine quintuples. Zbl 1364.11078
Cipu, Mihai; Fujita, Yasutsugu
11
2015
Generators and integral points on twists of the Fermat cubic. Zbl 1339.11066
Fujita, Yasutsugu; Nara, Tadahisa
2
2015
On Diophantine quintuples and \(D(-1)\)-quadruples. Zbl 1347.11030
Elsholtz, Christian; Filipin, Alan; Fujita, Yasutsugu
19
2014
The extendibility of Diophantine pairs. II: Examples. Zbl 1308.11033
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
17
2014
The extendibility of diophantine pairs. I: The general case. Zbl 1308.11034
Filipin, Alan; Fujita, Yasutsugu; Togbé, Alain
15
2014
Jeśmanowicz’ conjecture with congruence relations. II. Zbl 1318.11049
Fujita, Yasutsugu; Miyazaki, Takafumi
2
2014
Generators for congruent number curves of ranks at least two and three. Zbl 1316.11043
Fujita, Yasutsugu
1
2014
The number of Diophantine quintuples II. Zbl 1289.11031
Filipin, Alan; Fujita, Yasutsugu
13
2013
Generators and integer points on the elliptic curve \(y^2=x^3-nx\). Zbl 1310.11036
Fujita, Yasutsugu; Terai, Nobuhiro
2
2013
Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three. Zbl 1295.11060
Fujita, Yasutsugu
1
2013
On the Mordell-Weil group of the elliptic curve. Zbl 1308.11059
Fujita, Yasutsugu; Nara, Tadahisa
5
2012
The non-extendibility of some parametric families of \(D(-1)\)-triples. Zbl 1255.11015
Filipin, Alan; Fujita, Yasutsugu; Mignotte, Maurice
5
2012
Jeśmanowicz’ conjecture with congruence relations. Zbl 1291.11071
Fujita, Yasutsugu; Miyazaki, Takafumi
4
2012
The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\). Zbl 1274.11078
Fujita, Yasutsugu; Togbé, Alain
2
2012
The relative upper bound for the third element in a \(D(-1)\)-quadruple. Zbl 1305.11020
Filipin, Alan; Fujita, Yasutsugu
2
2012
On the rank of the elliptic curve \(y^2=x^3-nx\). Zbl 1271.11033
Fujita, Yasutsugu; Terai, Nobuhiro
1
2012
Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\). Zbl 1253.11043
Fujita, Yasutsugu; Terai, Nobuhiro
6
2011
Generators for the elliptic curve \(y^2=x^3-nx\). Zbl 1228.11081
Fujita, Yasutsugu; Terai, Nobuhiro
3
2011
The \(D(-k^2)\)-triple \(\{1,k^2+1,k^2+4\}\) with \(k\) prime. Zbl 1263.11043
Filipin, Alan; Fujita, Yasutsugu
1
2011
The number of Diophantine quintuples. Zbl 1211.11040
Fujita, Yasutsugu
15
2010
The number of \(D(-1)\)-quadruples. Zbl 1213.11067
Filipin, Alan; Fujita, Yasutsugu
6
2010
Any Diophantine quintuple contains a regular Diophantine quadruple. Zbl 1218.11031
Fujita, Yasutsugu
19
2009
The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves. Zbl 1248.11025
Fujita, Yasutsugu
10
2009
Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\). Zbl 1199.11073
Fujita, Yasutsugu
4
2009
The extensibility of Diophantine pairs \(\{k - 1,k+1\}\). Zbl 1151.11015
Fujita, Yasutsugu
33
2008
Any polynomial \(D(4)\)-quadruple is regular. Zbl 1144.11024
Filipin, Alan; Fujita, Yasutsugu
1
2008
The extensibility of \(D(-1)\)-triples \(\{1,b,c\}\). Zbl 1121.11023
Fujita, Yasutsugu
8
2007
The \(D(1)\)-extensions of \(D(-1)\)-triples \(\{ 1,2,c \}\) and integer points on the attached elliptic curves. Zbl 1152.11013
Fujita, Yasutsugu
3
2007
Torsion on elliptic curves in isogeny classes. Zbl 1116.11037
Fujita, Yasutsugu; Nakamura, Tetsuo
1
2007
Unique representation \(d=4k(k^2-1)\) in \(D(4)\)-quadruples \(\{k-2,k+2,4k,d\}\). Zbl 1140.11016
Fujita, Yasutsugu
8
2006
The non-extensibility of \(D(4k)\)-triples \(\{1, 4k(k-1), 4k^2+1\}\) with \(|k|\) prime. Zbl 1121.11024
Fujita, Yasutsugu
6
2006
Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\). Zbl 1087.11038
Fujita, Yasutsugu
18
2005
The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\). Zbl 1132.11029
Fujita, Yasutsugu
1
2005
Torsion subgroups of elliptic curves with non-cyclic torsion over \({\mathbb Q}\) in elementary abelian 2-extensions of \({\mathbb Q}\). Zbl 1114.11052
Fujita, Yasutsugu
14
2004
all top 5

Cited by 108 Authors

24 Fujita, Yasutsugu
16 Filipin, Alan
14 Togbé, Alain
11 Cipu, Mihai
9 He, Bo
7 Dujella, Andrej
5 Le, Maohua
5 Park, Jinseo
4 Bliznac Trebješanin, Marija
4 Chou, Michael
4 Daniels, Harris B.
4 González-Jiménez, Enrique
4 Lozano-Robledo, Álvaro
4 Luca, Florian
4 Miyazaki, Takafumi
4 Soldo, Ivan
4 Tornero, José María
3 Adédji, Kouèssi Norbert
3 Dimabayao, Jerome Tomagan
3 Lapkova, Kostadinka
3 Mignotte, Maurice
3 Najman, Filip
3 Terai, Nobuhiro
2 Adžaga, Nikola
2 Bonciocat, Nicolae Ciprian
2 García-Selfa, Irene
2 Jukić Bokun, Mirela
2 Kim, Shin Wook
2 Lee, June Bok
2 Li, Xiaoxue
2 Nara, Tadahisa
2 Pintér, Ákos
2 Ramasamy, A. M. S.
2 Trudgian, Tim
2 Yuan, Pingzhi
1 Aguirre Estibalez, Julián
1 Alahmadi, Adel N.
1 Bacani, Jerico B.
1 Bayad, Abdelmejid
1 Bennett, Michael A.
1 Bourdon, Abbey
1 Bujačić, Sanda
1 Chakraborty, Kalyan
1 Cheng, Teng
1 Clark, Peter Louis
1 Deng, Naijuan
1 Derickx, Maarten
1 Dieulefait, Luis Victor
1 Dossavi-Yovo, Appolinaire
1 Dudek, Adrian W.
1 Ejder, Özlem
1 Elsholtz, Christian
1 Fei, Shuanglin
1 Fu, Ruiqin
1 Fujita, Kento
1 Gou, Su
1 Griffin, Michael J.
1 Gupta, Shubham
1 Hatley, Jeffrey
1 Hoque, Azizul
1 Hu, Yongzhong
1 Jedrzejak, Tomasz
1 Jiménez-Urroz, Jorge
1 Jukić, Mirela
1 Jurasić, Ana
1 Juyal, Abhishek
1 Karker, Mary Leah
1 Kebli, Salima
1 Kihel, Omar
1 Kitayama, Hidetaka
1 Kreso, Dijana
1 Krijan, Ivan
1 Larone, Jesse
1 Li, Guilin
1 Lundell, Benjamin E.
1 Luo, Jiagui
1 Luo, Wenyu
1 Mikic, Miljen
1 Mina, Renz Jimwel S.
1 Mutlu, Elif Kızıldere
1 Nakashiki, Saya
1 Newman, Burton
1 Ono, Ken
1 Peral Alonso, Juan Carlos
1 Platt, David John
1 Pu, Keli
1 Rihane, Salah Eddine
1 Rout, Sudhansu Sekhar
1 Sala, Massimiliano
1 Saradha, N.
1 Shen, Rulin
1 Soydan, Gokhan
1 Srinivasan, Anitha
1 Su, Juanli
1 Suenaga, Yudai
1 Sutherland, Andrew V.
1 Tadić, Petra
1 Tagawa, Hiroyuki
1 Taufer, Daniele
1 Trudgian, Timothy S.
...and 8 more Authors
all top 5

Cited in 55 Serials

24 Journal of Number Theory
10 Periodica Mathematica Hungarica
7 Rocky Mountain Journal of Mathematics
5 Acta Arithmetica
5 Acta Mathematica Hungarica
5 International Journal of Number Theory
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Czechoslovak Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Proceedings of the Japan Academy. Series A
2 Transactions of the American Mathematical Society
2 Glasnik Matematički. Serija III
2 Indagationes Mathematicae. New Series
2 Journal de Théorie des Nombres de Bordeaux
2 Communications of the Korean Mathematical Society
2 JP Journal of Algebra, Number Theory and Applications
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Functiones et Approximatio. Commentarii Mathematici
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of the Korean Mathematical Society
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Publicacions Matemàtiques
1 SUT Journal of Mathematics
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The New York Journal of Mathematics
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Acta Mathematica Sinica. English Series
1 Integers
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Mediterranean Journal of Mathematics
1 Asian-European Journal of Mathematics
1 Science China. Mathematics
1 Afrika Matematika
1 International Journal of Group Theory
1 Malaysian Journal of Mathematical Sciences
1 Transactions of the London Mathematical Society
1 Korean Journal of Mathematics
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Citations by Year