On Shalika models and p-adic L-Functions

Abstract

We use modular symbols to construct p-adic L-functions for cohomological cuspidal automorphic representations on GL(2n), which admit a Shalika model. Our construction differs from former ones in that it systematically makes use of the representation theory of p-adic groups.

38 pages, small changes

Cited by in corpus (4)

• Automorphic L-invariants for reductive groups
• On $p$-refined Friedberg-Jacquet integrals and the classical symplectic locus in the ${\mathrm{GL}}_{2n}$ eigenvariety
• On $p$-adic $L$-functions for symplectic representations of GL(N) over number fields
• P-adic L-functions for GL(3)