On p-adic Hermitian Eisenstein series

In this paper we generalize the notion of p-adic modular form to the Hermitian modular case and prove a formula that shows a coincidence between certain p-adic Hermitian Eisenstein series and the genus theta series associated with Hermitian matrix with determinant p.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2006-09, Vol.134 (9), p.2533-2540
Main Author: NAGAOKA, Shoyu
Format: Article
Language:English
Subjects:
Algebra
Coincidence
Exact sciences and technology
Integers
Mathematical rings
Mathematical series
Mathematics
Number theory
Prime numbers
Sciences and techniques of general use
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Description
Summary:In this paper we generalize the notion of p-adic modular form to the Hermitian modular case and prove a formula that shows a coincidence between certain p-adic Hermitian Eisenstein series and the genus theta series associated with Hermitian matrix with determinant p.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-06-08286-4