# zbMATH — the first resource for mathematics

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