On the number of solutions of linear equations in units of an algebraic number field.
On the number of solutions of the generalized Ramanujan-Nagell equation
On the numbers of solutions of weighted unit equations
On the power values of Stirling numbers
On the system of Diophantine equations and
On the System of Diophantine Equations X2 - 6y2 = -5 and x= 2z2 - 1.
On the Thue-Mahler equation II
On the zeros of linear recurrence sequences
On Thue's theorem.
On two theorems of Gelfond and some of their applications
On unit equations and decompsable form equations.
On values of a polynomial at arithmetic progressions with equal products
Pell and Pell-Lucas numbers of the form
In this paper, we find all Pell and Pell-Lucas numbers written in the form , in nonnegative integers , , , with .
Perfect powers in arithmetical progression (II)
Perfect powers in products of integers from a block of consecutive integers (II)
Perfect powers in products of terms in an arithmetical progression III
Perfect powers in products of terms in an arithmetical progression (II)
Perfect powers in products of terms in an arithmetical progression
Perfect powers in q-binomial coefficients
Perfect powers in the summatory function of the power tower
Let be the sequence given by and for . In this paper, we show that the only solution of the equationis in positive integers and is .