Geodesic
Level Lowering Modulo Prime Powers and Twisted Fermat Equations
Canadian journal of mathematics, Tome 64 (2012) no. 2, pp. 282-300

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DOI

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 $a{{x}^{n}}\,+\,b{{y}^{n\,}}\,+\,c{{z}^{n}}\,=\,0$ .
DOI : 10.4153/CJM-2011-059-8
Mots-clés : 11D41, 11F33, 11F11, 11F80, 11G05, modular forms, level lowering, Diophantine equations 
Dahmen, Sander R.; Yazdani, Soroosh. Level Lowering Modulo Prime Powers and Twisted Fermat Equations. Canadian journal of mathematics, Tome 64 (2012) no. 2, pp. 282-300. doi: 10.4153/CJM-2011-059-8
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     author = {Dahmen, Sander R. and Yazdani, Soroosh},
     title = {Level {Lowering} {Modulo} {Prime} {Powers} and {Twisted} {Fermat} {Equations}},
     journal = {Canadian journal of mathematics},
     pages = {282--300},
     year = {2012},
     volume = {64},
     number = {2},
     doi = {10.4153/CJM-2011-059-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-059-8/}
}
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