Yasutsugu Fujita

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Person:466833

Available identifiers

zbMath Open fujita.yasutsugu-fujitaMaRDI QIDQ466833

List of research outcomes

PublicationDate of PublicationType
A NOTE ON THE NUMBER OF SOLUTIONS OF TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATIONS2023-02-28Paper
The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple2022-10-21Paper
A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$2022-09-06Paper
Extensions of a Diophantine triple by adjoining smaller elements2022-08-31Paper
The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple2022-08-23Paper
On exponential Diophantine equations concerning Pythagorean triples2022-08-23Paper
https://portal.mardi4nfdi.de/entity/Q58648682022-06-10Paper
A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\)2022-06-08Paper
Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\)2022-04-06Paper
$D(-1)$-tuples in the ring $\mathbb{Z}[\sqrt{-k}$ with $k>0$]2022-02-22Paper
Dem'janenko's theorem on Jeśmanowicz' conjecture concerning Pythagorean triples revisited2021-11-02Paper
A NOTE ON JEŚMANOWICZ’ CONJECTURE CONCERNING NONPRIMITIVE PYTHAGOREAN TRIPLES2021-07-07Paper
Diophantine triples with largest two elements in common2021-06-29Paper
Uniqueness of solutions to simultaneous Pell equations2021-02-16Paper
On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\)2021-01-25Paper
Generators and integral points on certain quartic curves2020-05-07Paper
An infinite two-parameter family of Diophantine triples2020-02-25Paper
Diophantine pairs that induce certain Diophantine triples2020-01-31Paper
The Mordell--Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$2019-02-01Paper
There are no Diophantine quadruples of Fibonacci numbers2018-11-01Paper
Two-parameter families of uniquely extendable Diophantine triples2018-04-11Paper
On the number of extensions of a Diophantine triple2018-04-04Paper
The regularity of Diophantine quadruples2018-03-28Paper
On Diophantine quadruples of Fibonacci numbers2017-12-01Paper
Bounds for Diophantine quintuples II2016-11-25Paper
Bounds for Diophantine quintuples2015-09-15Paper
Generators and integral points on twists of the Fermat cubic2015-04-02Paper
The extendibility of diophantine pairs I: the general case2014-11-28Paper
https://portal.mardi4nfdi.de/entity/Q29277482014-11-04Paper
On Diophantine quintuples and \(D(-1)\)-quadruples2014-10-31Paper
Jeśmanowicz’ Conjecture with Congruence Relations. II2014-10-21Paper
The extendibility of Diophantine pairs. II: Examples2014-09-12Paper
The number of Diophantine quintuples II2014-02-17Paper
Generators and integer points on the elliptic curve y2=x3-nx2013-10-09Paper
The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\)2013-08-06Paper
Generators for the elliptic curve y[sup 2 = x[sup 3]−nx II]2013-04-25Paper
Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three2013-02-28Paper
https://portal.mardi4nfdi.de/entity/Q48979572012-12-28Paper
Jeśmanowicz' conjecture with congruence relations2012-12-06Paper
https://portal.mardi4nfdi.de/entity/Q29157162012-09-18Paper
https://portal.mardi4nfdi.de/entity/Q29067712012-09-05Paper
THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES2012-09-05Paper
Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\)2012-04-03Paper
On the Mordell-Weil group of the elliptic curve2012-02-11Paper
The D(-k2)-triple {1,k2+1,k2+4} with k prime2012-02-09Paper
Generators for the elliptic curve \(y^2=x^3-nx\)2011-10-10Paper
https://portal.mardi4nfdi.de/entity/Q29987232011-05-18Paper
https://portal.mardi4nfdi.de/entity/Q30694372011-01-26Paper
Generators for the elliptic curve y[sup 2 = x[sup 3]−nx]2010-08-18Paper
Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\)2010-08-13Paper
The number of Diophantine quintuples2010-06-17Paper
The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves2010-01-05Paper
Any Diophantine quintuple contains a regular Diophantine quadruple2009-06-17Paper
https://portal.mardi4nfdi.de/entity/Q35120532008-07-11Paper
Diophantine quadruples containing some triples and the number of Diophantine quintuples2008-05-02Paper
The extensibility of Diophantine pairs \(\{k - 1,k+1\}\)2008-02-04Paper
The D(1)-extensions of D(-1)-triples {1,2,c} and integer points on the attached elliptic curves2007-09-20Paper
Torsion on elliptic curves in isogeny classes2007-08-09Paper
The non-extensibility of D(4k)-triples {1, 4k(k-1), 4k^2+1} with |k| prime2007-08-01Paper
https://portal.mardi4nfdi.de/entity/Q34361232007-05-08Paper
https://portal.mardi4nfdi.de/entity/Q34174112007-01-29Paper
The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\)2005-12-06Paper
Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\)2005-09-22Paper
Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q2004-11-29Paper
https://portal.mardi4nfdi.de/entity/Q44248722003-09-07Paper

Research outcomes over time


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