On Krasnér's theorem for the first case of Fermat's last theorem
On perfect powers in products with terms from arithmetic progressions
On polynomials that are sums of two perfect qth powers
On rational and integral roots of a polynomial
On rational Morley triangles
On S-integral solutions of the Catalan equation
On solutions of the equation Xⁿ + Yⁿ = BZⁿ with prime n|BZ
On Some Arithmetic Problems Related to the Hodge Cycles on the Fermat Varieties.
On some expressions associated with Fermat's last theorem.
On some generalizations of the diophantine equation
On some inequalities connected with Fermat's equation.
On Sophie Germain type criteria for Fermat's Last Theorem
On square values of quadratics
On the Catalan equation over algebraic number fields.
On the congruence , where q is a prime and f is a polynomial
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 Diophantine Equation 2x3 + 1 = py2.
On the Diophantine equation .
On the diophantine equation
On the Diophantine equation ax...+bx...y+cy...=d and pure powers in recurrence sequences.