Year: 2012
Type: article
Abstract: The goal of this paper is to study certain p -adic differential operators on automorphic forms on U ( n , n ) . These operators are a generalization to the higher-dimensional, vector-valued situation of the p -adic differential operators constructed for Hilbert modular forms by N. Katz. They are a generalization to the p -adic case of the C ∞ -differential operators first studied by H. Maass and later studied extensively by M. Harris and G. Shimura. The operators should be useful in the construction of certain p -adic L -functions attached to p -adic families of automorphic forms on the unitary groups U ( n ) × U ( n ) .
Source: Annales de l’institut Fourier
DOI: 10.5802/aif.2704
Author: Ellen E. Eischen
Institution: Northwestern University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1644835205