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Congruences modulo prime powers of Hecke eigenvalues in level 1

Koc University Digital Collections · Papers
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mathematics
We continue the study of strong, weak, and dc-weak eigenforms introduced by Chen, Kiming, and Wiese. We completely determine all systems of Hecke eigenvalues of level 1 modulo 128, showing there are finitely many. This extends results of Hatada and can be considered as evidence for the more general
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