Level lowering modulo prime powers and twisted Fermat equations

Details Level lowering modulo prime powers and twisted Fermat equations Level lowering modulo prime powers and twisted Fermat equations

2010-09-01

arxiv.org/abs/1009.0284v1

Mathematics

Number Theory

Scientific paper

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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