2 papers
math.NT2026
Power-saving bounds for Thue--Mahler and Mordell equations
Hector Pasten
We prove a new effective bound for cubic Thue--Mahler equations with power-saving dependence on the regulator. This has some applications. First, we improve Stark's bound $\log \ma…
math.NT2025
On the greatest prime factor of polynomial values and subexponential Szpiro in families
José Cuevas Barrientos, Hector Pasten
Combining a modular approach to the conjecture developed by the second author with the classical method of linear forms in logarithms, we obtain improved unconditional bounds…