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Abstract The minus space M k ! − ( p ) is defined to be the subspace of the space M k ! ( p ) of weakly holomorphic weight… Click to show full abstract
Abstract The minus space M k ! − ( p ) is defined to be the subspace of the space M k ! ( p ) of weakly holomorphic weight k modular forms for Γ 0 ( p ) consisting of all eigenforms of the Fricke involution W p with eigenvalue −1. In this paper, we study congruences for Hecke eigenvalues in minus spaces. This is extended results for Choi and Kim (2011) [5] . We also find congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms by extending the results of Choi and Kim (2015) [7] to the minus space.
Keywords:
congruences hecke;
space;
hecke eigenvalues;
eigenvalues minus;
minus spaces
Journal Title: Journal of Number Theory
Year Published: 2020
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!