A class of diophantine equations connected with certain elliptic curves over
A Classical Diophantine Problem and Modular Forms of Weight 3/2.
A diophantine system.
A New Characterization of the Integer 5906.
A note on integral clock triangles.
A note on Sierpiński's problem related to triangular numbers
We show that the system of equations , where is a triangular number, has infinitely many solutions in integers. Moreover, we show that this system has a rational three-parameter solution. Using this result we show that the system has infinitely many rational two-parameter solutions.
A note on the diophantine equation a²x⁴ - By² = 1
A note on the diophantine equation
A note on the integer solutions ofhyperelliptic equations
A parametric family of elliptic curves
A parametric family of quartic Thue equations
A remark on prime divisors of lengths of sides of Heron triangles.
A solution to an “unsolved problem in number theory”.
About a Diophantine equation.
Addendum on the equation aX⁴ - bY² = 2
Algebraic points on cubic hypersurfaces
An effective p-adic analogue of a theorem of Thue III. The diophantine equation
An effective Shafarevich theorem for elliptic curves
An elliptic curve having large integral points
The main purpose of this paper is to prove that the elliptic curve has only the integral points and , using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.
Approximation faible aux places de bonne réduction sur les surfaces cubiques sur les corps de fonctions
On démontre que les surfaces cubiques lisses sur les corps de fonctions d’une courbe sur un corps algébriquement clos de caractéristique vérifient l’approximation faible aux places de bonne réduction. La méthode utilisée imite celle employée par Swinnerton-Dyer [10] dans le cas des corps de nombres.