Formal period integrals and special value formulas. (English) Zbl 1416.11067

Greenberg, Matthew; Seveso, Marco Adamo

Riv. Mat. Univ. Parma (N.S.) 7, No. 1, 217-237 (2016).

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

Keywords:

special values of \(L\)-functions; \(p\)-adic \(L\)-functions