A note on control theorems for quaternionic Hida families of modular forms. (English) Zbl 1401.11096
Summary: We extend a result of Greenberg and Stevens on the interpolation of modular symbols in Hida families to the context of non-split rational quaternion algebras. Both the definite case and the indefinite case are considered.
MSC:
| 11F67 | Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols |
| 11R52 | Quaternion and other division algebras: arithmetic, zeta functions |
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