On the number of large integer points on elliptic curves
On the number of solutions of simultaneous Pell equations
On the number of solutions of simultaneous Pell equations II
On the positive integral solutions of the Diophantine equation .
On the powerful part of
We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
On the property .
On the Representation of Integers by Binary Cubic Forms of Positive Discriminant.
On the representation of integers by binary cubic forms of positive discriminant (Erratum).
On the representation of integers by certain binary cubic and biquadratic forms
On the resolution of simultaneous Pell equations.
On the size of integer solutions of elliptic equations, II
On the sum of consecutive cubes being a perfect square
On the System of Diophantine Equations X2 - 6y2 = -5 and x= 2z2 - 1.
On the torsion subgroups of elliptic curves over totally real fields.
On two-parametric family of quartic Thue equations
We show that for all integers and there are no non-trivial solutions of Thue equationsatisfying the additional condition .
On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
On unit solutions of the equation xyz=x+y+z in a number field with unit group of rank 1
On x³ + y³ + z³ = 3μxyz and Jacobi polynomials
Pairs of Pell equations having at most one common solution in positive integers.
Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
The Diophantine equation A² + nB⁴ = C³ has infinitely many integral solutions A, B, C for any fixed integer n. The case n = 0 is trivial. By using a new polynomial identity we generate these solutions, and then give conditions when the solutions are pairwise co-prime.