Hector Pasten

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math.NT2025

Quadratic points on double planes

Nathan Chen, Ben Church, Hector Pasten +1

Zariski dense collections of quadratic points on curves $X$ are well-understood by results of Harris--Silverman and Vojta, but when $dim X \geq 2$ there is not an analogous geomet…

math.NT2023

The largest prime factor of $n^{2} + 1$ and improvements on subexponential $A B C$

Hector Pasten

We combine transcendental methods and the modular approaches to the $A B C$ conjecture to show that the largest prime factor of $n^{2} + 1$ is at least of size $(lo g_{2} n)^{2} / lo g_{3} n$ whe…

Quadratic points on double planes

The largest prime factor of n2+1 and improvements on subexponential ABC

The largest prime factor of $n^{2} + 1$ and improvements on subexponential $A B C$