On an Asymptotic Formula of Ramanujan.
On an equation of Goormaghtigh
On an improvement of a theorem of T. Nagell concerning the Diophantine equation Ax3 + By3 = C
On another sieve method and the numbers that are a sum of two hth powers: II.
On arithmetic progressions having only few different prime factors in comparison with their length
On arithmetic progressions of equal lengthsand equal products of terms
On arithmetic progressions on Edwards curves
Let and a,q ∈ ℚ. Denote by the set of rational numbers d such that a, a + q, ..., a + (m-1)q form an arithmetic progression in the Edwards curve . We study the set and we parametrize it by the rational points of an algebraic curve.
On arithmetic progressions with equal products
On Bachet's Diophantine Equation x... = y... + k.
On binary quartic forms.
On blocks of arithmetic progressions with equal products
Let be a monic polynomial which is a power of a polynomial of degree and having simple real roots. For given positive integers with and gcd with whenever , we show that the equationwith for has only finitely many solutions in integers and except in the case
On Bumby’s equation : a solution via pythagorean triples
On Catalan's problem
On certain additive representations of integers
On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
On certain Diophantine systems with infinitely many parametric solutions and applications
On consecutive integers of the form ax², by² and cz²
On Cubic Polynomials II. Multiple Exponential Sums.
On Cubic Polynomials III. Systems of p-adic Equations.
On Cubic Polynomials IV. Systems of Rational Equations.