A CONGRUENCE RELATION ON A HECKE MODULE ASSOCIATED WITH A QUATERNION ALGEBRA
A congruence relation on the space of weight-2 cusp forms has been intensively studied. In this paper, we introduce a congruence relationon a Hecke module associated with a definite quaternion algebra and investigate a relationship between the two congruence relations.
quaternion algebras, modular forms, congruences, and Hecke algebras.