Note sur la géométrie des quinconces
Note sur la résolution en nombres entiers et positifs du système des deux équations indéterminées
Note sur la résolution en nombres entiers positifs du système des trois équations
Note sur quelques équations indéterminées
On a class of Diophantine equations.
On a few Diophantine equations, in particular, Fermat's Last Theorem.
On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
On so that .
On sot hat represents and and not .
On Diophantine quintuples
On Eisenstein's problem
On fundamental solutions of binary quadratic form equations
We show that, with suitable modification, the upper bound estimates of Stolt for the fundamental integer solutions of the Diophantine equation Au²+Buv+Cv²=N, where A>0, N≠0 and B²-4AC is positive and nonsquare, in fact characterize the fundamental solutions. As a corollary, we get a corresponding result for the equation u²-dv²=N, where d is positive and nonsquare, in which case the upper bound estimates were obtained by Nagell and Chebyshev.
On integer solutions to x² - dy² = 1, z² - 2dy² =1
On Obláth's problem.
On pythagorean angles
On Rédei's theory of the Pell equation.
On Shanks' algorithm for computing the continued fraction of .
On some properties of two simultaneous polygonal sequences.
On some special forms of simultaneous Pell equations
On Tate-Shafarevich groups of .