Abstract
AbstractWe 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 quaternionicS-ideal classes and the distribution of Atkin–Lehner signs among newforms.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. Mass formulas and Eisenstein congruences in higher rank;Journal of Number Theory;2024-04
2. Root number bias for newforms;Proceedings of the American Mathematical Society;2023-06-16
3. Exact double averages of twisted L-values;Mathematische Zeitschrift;2022-09-06
4. Zeroes of quaternionic modular forms and central L-values;Journal of Number Theory;2020-12
5. The basis problem revisited;Transactions of the American Mathematical Society;2020-04-28