Geodesic
Congruences for Modular Forms mod 2 and Quaternionic S-ideal Classes
Canadian journal of mathematics, Tome 70 (2018) no. 5, pp. 1076-1095

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DOI

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.
DOI : 10.4153/CJM-2017-019-1
Mots-clés : 11F33, 11R52, modular forms, congruences, quaternion algebras 
Martin, Kimball. Congruences for Modular Forms mod 2 and Quaternionic S-ideal Classes. Canadian journal of mathematics, Tome 70 (2018) no. 5, pp. 1076-1095. doi: 10.4153/CJM-2017-019-1
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     title = {Congruences for {Modular} {Forms} mod 2 and {Quaternionic} {S-ideal} {Classes}},
     journal = {Canadian journal of mathematics},
     pages = {1076--1095},
     year = {2018},
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     doi = {10.4153/CJM-2017-019-1},
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