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arXiv · 1701.07864

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

Kimball Martin
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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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Kimball Martin. 2017-06-07. Congruences for modular forms mod 2 and quaternionic $S$-ideal classes. https://arxiv.org/abs/1701.07864

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