Eduardo Soto

collaborators

3 papers

math.NT2018

Solving $a x^{p} + b y^{p} = c z^{p}$ with $ab c$ containing an arbitrary number of prime factors

Luis Dieulefait, Eduardo Soto

In this paper we prove new cases of the asymptotic Fermat equation with coefficients. This is done by solving remarkable $S$ -units equations and applying a method of Frey-Mazur.

math.NT2018

Raising the level at your favorite prime

Luis Dieulefait, Eduardo Soto

In this paper we prove a level raising theorem for some weight $2$ trivial character newforms at almost every prime $p$ . This is done by ignoring the residue characteristic at whic…

math.NT2015

On congruences between normalized eigenforms with different sign at a Steinberg prime

Luis Dieulefait, Eduardo Soto

Let $f$ be a newform of weight $2$ on $Γ_{0} (N)$ with Fourier $q$ -expansion $f (q) = q + \sum_{n \geq 2} a_{n} q^{n}$ , where $Γ_{0} (N)$ denotes the group of invertible matrices with integer coef…

Solving axp+byp=czp with abc containing an arbitrary number of prime factors

Raising the level at your favorite prime

On congruences between normalized eigenforms with different sign at a Steinberg prime

Solving $a x^{p} + b y^{p} = c z^{p}$ with $ab c$ containing an arbitrary number of prime factors