JP Journal of Algebra, Number Theory and Applications
Volume 8, Issue 2, Pages 187 - 192
(August 2007)
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A CONGRUENCE RELATION ON A HECKE MODULE ASSOCIATED WITH A QUATERNION ALGEBRA
S. Takahashi (U. S. A.)
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Abstract: 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. |
Keywords and phrases: quaternion algebras, modular forms, congruences, and Hecke algebras. |
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