A p-adic Eisenstein measure for unitary groups

Abstract

We construct a p-adic Eisenstein measure with values in the space of p-adic automorphic forms on certain unitary groups. Using this measure, we p-adically interpolate certain special values of both holomorphic and non-holomorphic Eisenstein series, as both the archimedean and the p-adic weights of the Eisenstein series vary.

Accepted for publication in the Journal für die reine und angewandte Mathematik (Crelle's Journal)

References in corpus (1)

• Algebraic topology and modular forms

Cited by in corpus (8)

• p-adic L-functions for unitary groups
• Differential operators, pullbacks, and families of automorphic forms
• p-adic q-expansion principles on unitary Shimura varieties
• A p-adic Eisenstein measure for vector-weight automorphic forms
• Differential operators and families of automorphic forms on unitary groups of arbitrary signature
• Archimedean Zeta Integrals for Unitary Groups
• An introduction to Eisenstein measures
• Iwasawa theory for $\mathrm{U}(r,s)$, Bloch-Kato conjecture and Functional Equation