2 papers
math.NT2024
On primitive integer solutions of the Diophantine equation
Maciej Ulas
In this note we consider the title Diophantine equation from both theoretical as well as experimental point of view. In particular, we prove that for and each choice of th…
math.NT2024
Construction of diagonal quintic threefolds with infinitely many rational points
Maciej Ulas
In this note we present a construction of an infinite family of diagonal quintic threefolds defined over $\Q$ each containing infinitely many rational points. As an application, we…