On a conjecture of E. Thomas concerning parametrized Thue equations
On a family of cubic Thue equations with 5 solutions
On a few Diophantine equations, in particular, Fermat's Last Theorem.
On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
On Lucas and Lehmer sequences and their applications to Diophantine equations
On the diophantine equation
In this paper, we find all integer solutions of the equation in the title for non-negative integers and under the condition that the integers and are relatively prime and . The proof depends on the famous primitive divisor theorem due to Bilu, Hanrot and Voutier and the computational techniques on some elliptic curves.
On the number of large integer points on elliptic curves
On the number of pairs of binary forms with given degree and given resultant
On the power-free parts of consecutive integers
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 .