A p-adic Eisenstein measure for unitary groups

TL;DR

This paper develops a p-adic Eisenstein measure for unitary groups, enabling the interpolation of special values of Eisenstein series across varying weights in p-adic automorphic forms.

Contribution

It introduces a novel p-adic Eisenstein measure for unitary groups, facilitating p-adic interpolation of Eisenstein series' special values.

Findings

Constructed a p-adic Eisenstein measure for certain unitary groups.

Successfully interpolated special values of Eisenstein series p-adically.

Bridged holomorphic and non-holomorphic Eisenstein series in p-adic context.

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.