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arxiv: 1601.02863 · v3 · pith:TIVSDDCDnew · submitted 2016-01-12 · 🧮 math.NT

Modular forms of arbitrary even weight with no exceptional primes

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keywords weighteigenformsevenmodularresultarbitraryassociateddieulefait-wiese
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A result of Dieulefait-Wiese proves the existence of modular eigenforms of weight 2 for which the image of every associated residual Galois representation is as large as possible. We generalize this result to eigenforms of general even weight k $\geq$ 2.

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