On $p$-adic Hermitian Eisenstein series
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Abstract:
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 $p$.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
- Received by editor(s): December 17, 2004
- Received by editor(s) in revised form: April 7, 2005
- Published electronically: March 23, 2006
- Communicated by: Wen-Ching Winnie Li
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2533-2540
- MSC (2000): Primary 11F33; Secondary 11F55
- DOI: https://doi.org/10.1090/S0002-9939-06-08286-4
- MathSciNet review: 2213730
Dedicated: Dedicated to Professor Yasuo Morita