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Lifting modular symbols of non-critical slope. (English) Zbl 1165.11049

Summary: We give a new proof of the result, originally proved in unpublished work of Glenn Stevens [Rigid analytic modular symbols, preprint], that every modular eigensymbol of non-critical slope lifts uniquely to a rigid-analytic distribution-valued eigensymbol. The proof is algorithmic and facilitates the efficient calculation of certain \(p\)-adic integrals.

MSC:

11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
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References:

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