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arXiv · 1009.0284

Level lowering modulo prime powers and twisted Fermat equations

Sander R. Dahmen·Soroosh Yazdani
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Abstract

We discuss a clean level lowering theorem modulo prime powers for weight $2$ cusp forms. Furthermore, we illustrate how this can be used to completely solve certain twisted Fermat equations $ax^n+by^n+cz^n=0$.

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Sander R. Dahmen, Soroosh Yazdani. 2010-09-01. Level lowering modulo prime powers and twisted Fermat equations. https://doi.org/10.4153/cjm-2011-059-8

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