Hector Pasten

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20112026

most citedRepresentation of powers by polynomials over function fields and a problem of Logic

2 citations · 3 across the 5 of their papers we have counts for

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math.NT2026

Improved bounds for Szpiro's conjecture

Hector Pasten

In the direction of Szpiro's conjecture for all elliptic curves $E$ over $Q$ , the current best bound is $lo g Δ ≪ N lo g N$ where $Δ$ is the absolute value of the minimal…

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…