LEVEL LOWERING MODULO PRIME POWERS AND TWISTED FERMAT EQUATIONS

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES(2012)

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摘要
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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关键词
modular forms,level lowering,Diophantine equations
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