Translator Disclaimer
2014 A $p$-adic Eisenstein measure for vector-weight automorphic forms
Ellen Eischen
Algebra Number Theory 8(10): 2433-2469 (2014). DOI: 10.2140/ant.2014.8.2433

Abstract

We construct a p-adic Eisenstein measure with values in the space of vector-weight p-adic automorphic forms on certain unitary groups. This measure allows us to p-adically interpolate special values of certain vector-weight C automorphic forms, including Eisenstein series, as their weights vary. This completes a key step toward the construction of certain p-adic L-functions.

We also explain how to extend our methods to the case of Siegel modular forms and how to recover Nicholas Katz’s p-adic families of Eisenstein series for Hilbert modular forms.

Citation

Download Citation

Ellen Eischen. "A $p$-adic Eisenstein measure for vector-weight automorphic forms." Algebra Number Theory 8 (10) 2433 - 2469, 2014. https://doi.org/10.2140/ant.2014.8.2433

Information

Received: 3 March 2014; Revised: 22 September 2014; Accepted: 3 November 2014; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 06387028
MathSciNet: MR3298545
Digital Object Identifier: 10.2140/ant.2014.8.2433

Subjects:
Primary: 11F03
Secondary: 11F30, 11F33, 11F46, 11F55, 11F85

Rights: Copyright © 2014 Mathematical Sciences Publishers

JOURNAL ARTICLE
37 PAGES


SHARE
Vol.8 • No. 10 • 2014
MSP
Back to Top