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
On squares of squares II
On the computation of the class numbers of some cubic fields.
On the congruence f(x) + g(y) + c ≡ 0 (mod xy) (completion of Mordell's proof)
Assertions on the congruence f(x) + g(y) + c ≡ 0 (mod xy) made without proof by Mordell in his paper in Acta Math. 88 (1952) are either proved or disproved.
On the difference of cubes (mod p)
On the Diophantine equation 1 + x + y = z, with xyz = 2r3s7t.