On Fibonacci numbers which are one more than a square.
On Hall's conjecture
On integer solutions to x² - dy² = 1, z² - 2dy² =1
On integral similitude matrices
We study integral similitude 3 × 3-matrices and those positive integers which occur as products of their row elements, when matrices are symmetric with the same numbers in each row. It turns out that integers for which nontrivial matrices of this type exist define elliptic curves of nonzero rank and are closely related to generalized cubic Fermat equations.
On pairs of additive cubic equations.
On Perrine's generalized Markoff equation.
On Perrine's generalized Markoff equations. (Summary).
On power values of pyramidal numbers, I
On rational and integral roots of a polynomial
On second 2-descent and non-congruent numbers
We use the so-called second 2-descent method to find several series of non-congruent numbers. We consider three different 2-isogenies of the congruent elliptic curves and their duals, and find a necessary condition to estimate the size of the images of the 2-Selmer groups in the Selmer groups of the isogeny.
On simultaneous additive equations II.
On simultaneous diophantine equations
On some Diophantine equations. I.
On some Diophantine equations. II.
On some Diophantine equations. III.
On Some Elliptic Curves Defined Over ... of Free Rank ... 9.
On some elliptic curves with large sha.
On some special forms of simultaneous Pell equations
On Some Ternary Quartic Diophantine Equations.
On squares of squares