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arXiv · 1601.02863

Modular forms of arbitrary even weight with no exceptional primes

Jeffrey Hatley
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Abstract

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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Jeffrey Hatley. 2016-04-01. Modular forms of arbitrary even weight with no exceptional primes. https://doi.org/10.1016/j.jnt.2016.02.026

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