A generalization of the question of Sierpiński on geometric progressions.
On zero-sum free subsets of length 7.
Simultaneous Pell equations
On the number of solutions of simultaneous Pell equations
Integers not of the form
On the diophantine equation
Two conjectures on an addition theorem
On the Diophantine equation (x² ± C)(y² ± D) = z⁴
Squares in Lehmer sequences and the Diophantine equation Ax⁴ - By² = 2
Square-classes in Lehmer sequences having odd parameters and their applications
Isomorphic digraphs from powers modulo
Let be a prime. We assign to each positive number a digraph whose set of vertices is and there exists a directed edge from a vertex to a vertex if . In this paper we obtain a necessary and sufficient condition for .
On a conjecture of Lemke and Kleitman
On some special forms of simultaneous Pell equations
On the diophantine equation
Applying results on linear forms in p-adic logarithms, we prove that if (x,y,z) is a positive integer solution to the equation with gcd(x,y) = 1 then (x,y,z) = (2,1,k), (3,2,k), k ≥ 1 if c = 1, and either , k ≥ 1 or if c ≥ 2.
On the Diophantine equation
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