On the (non-)existence of m-cycles for generalized Syracuse sequences
On the number of solutions of simultaneous Pell equations II
On the power values of Stirling numbers
On the spacing between terms of generalized Fibonacci sequences
For k ≥ 2, the k-generalized Fibonacci sequence is defined to have the initial k terms 0,0,...,0,1 and be such that each term afterwards is the sum of the k preceding terms. We will prove that the number of solutions of the Diophantine equation (under some weak assumptions) is bounded by an effectively computable constant depending only on c.
On the sum of consecutive cubes being a perfect square
On the system of Diophantine equations and
On the System of Diophantine Equations X2 - 6y2 = -5 and x= 2z2 - 1.
On two theorems of Gelfond and some of their applications