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Formal period integrals and special value formulas. (English) Zbl 1416.11067
Summary: Motivated by the conjectures of Gan-Gross-Prasad, we develop a \(p\)-adic formalism for placing these conjectures in a \(p\)-adic setting which is suited for \(p\)-adic interpolation.

MSC:
11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols
11F33 Congruences for modular and \(p\)-adic modular forms
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