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math.NT2016
On products of disjoint blocks of arithmetic progressions and related equations
Szabolcs Tengely, Maciej Ulas
In this paper we deal with Diophantine equations involving products of consecutive integers, inspired by a question of Erdős and Graham.
math.NT2016
On representing coordinates of points on elliptic curves by quadratic forms
Andrew Bremner, Maciej Ulas
Given an elliptic quartic of type representing an elliptic curve of positive rank over $\Q$, we investigate the question of when the -coordinate can be represented by…