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Modular forms with large coefficient fields via congruences

  • Author(s): Dieulefait, LV
  • Urroz, JJ
  • Ribet, KA
  • et al.

Published Web Location

https://link.springer.com/article/10.1007/s40993-015-0003-9
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Abstract

© 2015, Dieulefait et al.; licensee Springer. We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. We also prove a similar result for certain almost square-free levels.

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