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On  -adic Hermitian Eisenstein series
Author:
Shoyu Nagaoka
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2533-2540
MSC (2000):
Primary 11F33; Secondary 11F55
Posted:
March 23, 2006
MathSciNet review:
2213730
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Abstract: In this paper we generalize the notion of  -adic modular form to the Hermitian modular case and prove a formula that shows a coincidence between certain  -adic Hermitian Eisenstein series and the genus theta series associated with Hermitian matrix with determinant  .
References
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Additional Information
Shoyu Nagaoka
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Email:
nagaoka@math.kindai.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08286-4
PII:
S 0002-9939(06)08286-4
Keywords:
$p$-adic modular forms,
Eisenstein series
Received by editor(s):
December 17, 2004
Received by editor(s) in revised form:
April 7, 2005.
Posted:
March 23, 2006
Dedicated:
Dedicated to Professor Yasuo Morita
Communicated by:
Wen-Ching Winnie Li
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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