Fermat’s Last Theorem and modular curves over real quadratic fields
Philippe Michaud‐Jacobs
Abstract
We study the Fermat equation $x^n+y^n=z^n$ over quadratic fields $\mathbb Q (\sqrt {d})$ for squarefree $d$ with $26 \leq d \leq 97$. By studying quadratic points on the modular curves $X_0(N)$, $d$-regular primes, and working with Hecke operators on spac
Topics & Concepts
Fermat's Last TheoremModular designQuadratic equationMathematicsDiscrete mathematicsComputer scienceProgramming languageGeometryAlgebraic Geometry and Number TheoryAnalytic Number Theory ResearchHistory and Theory of Mathematics