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

Published 26 Jan 2017 in math.NT | (1701.07864v2)

Abstract: 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.

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Authors (1)

Kimball Martin

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