Philippe Michaud-Jacobs

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20212023

most citedFermat's Last Theorem and modular curves over real quadratic fields

13 citations · 24 across the 7 of their papers we have counts for

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math.NT2021★ 1 cited

On some Generalized Fermat Equations of the form $x^{2} + y^{2 n} = z^{p}$

Philippe Michaud-Jacobs

The primary aim of this paper is to study the generalized Fermat equation \[ x^2+y^{2n} = z^{3p} \] in coprime integers $x$ , $y$ , and $z$ , where $n \geq 2$ and $p$ is a fixed prime…

math.NT2021★ 13 cited

Fermat's Last Theorem and modular curves over real quadratic fields

Philippe Michaud-Jacobs

In this paper we study the Fermat equation $x^{n} + y^{n} = z^{n}$ over quadratic fields $Q (d)$ for squarefree $d$ with $26 \leq d \leq 97$ . By studying quadratic points on t…

On some Generalized Fermat Equations of the form x2+y2n=zp

Fermat's Last Theorem and modular curves over real quadratic fields

On some Generalized Fermat Equations of the form $x^{2} + y^{2 n} = z^{p}$