On the diophantine equation x²+x+1 = yz
All solutions of the equation x²+x+1 = yz in non-negative integers x,y,z are given in terms of an arithmetic continued fraction.
On the extendibility of the Diophantine triple .
On the extension of the Diophantine pair in .
On the family of diophantine triples .
On the matrix negative Pell equation
Let N be a set of natural numbers and Z be a set of integers. Let M₂(Z) denotes the set of all 2x2 matrices with integer entries. We give necessary and suficient conditions for solvability of the matrix negative Pell equation (P) X² - dY² = -I with d ∈ N for nonsingular X,Y belonging to M₂(Z) and his generalization (Pn) with d ∈ N for nonsingular , i=1,...,n.
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 Pellian equation and the class number of indefinite binary quadratic forms.
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 resolution of simultaneous Pell equations.
On the set of numbers {14, 22, 30, 42, 90}
On the smallest solution to the general binary quadratic diophantine equation
On the solutions of certain diagonal quadratic equations and Lang's conjecture
On the Solvability of a Certain Class of Non-Pellian Equations.
On the sum of two integral squares in quadratic fields ℚ(√±p)