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Congruences for Modular Forms mod 2 and Quaternionic S-ideal Classes

Published online by Cambridge University Press:  20 November 2018

Kimball Martin
Kimball Martin*
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA, e-mail: kmartin@math.ou.edu
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Abstract

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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.

Keywords

11F3311R52modular formscongruencesquaternion algebras
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 70 , Issue 5 , 01 October 2018 , pp. 1076 - 1095
Copyright
Copyright © Canadian Mathematical Society 2018

References

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