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arXiv:1701.07864 [math.NT]AbstractReferencesReviewsResources

Congruences for modular forms mod 2 and quaternionic $S$-ideal classes

Kimball Martin

Published 2017-01-26Version 1

We prove many simultaneous congruences mod 2 for elliptic and Hilbert modular forms among forms with different Atkin--Lehner eigenvalues. The proofs involve the notion of quaternionic $S$-ideal classes and the distribution of Atkin--Lehner signs among newforms.

Comments: 19 pages
Categories: math.NT
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