Journal of Number Theory
 2016
DOI: 10.1016/j.jnt.2016.02.026
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Modular forms of arbitrary even weight with no exceptional primes

Jeffrey Hatley1

Abstract: 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 ≥ 2.

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