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Congruences for Modular Forms mod 2 and Quaternionic S-ideal Classes
Published online by Cambridge University Press: 20 November 2018
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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- Copyright © Canadian Mathematical Society 2018
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