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On the restriction of the Hermitian Eisenstein series and its applications
Authors:
Shoyu Nagaoka and Yoshitugu Nakamura
Journal:
Proc. Amer. Math. Soc. 139 (2011), 1291-1298
MSC (2010):
Primary 11F55; Secondary 11F46
Published electronically:
September 2, 2010
MathSciNet review:
2748422
Full-text PDF
Abstract |
References |
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Additional Information
Abstract: We introduce a simple construction of a Siegel cusp form obtained by taking the difference between the Siegel Eisenstein series and the restricted Hermitian Eisenstein series. In addition, we present applications of the Siegel cusp form.
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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
Yoshitugu Nakamura
Affiliation:
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
Email:
yoshi-nakamura@math.kindai.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-2010-10562-2
PII:
S 0002-9939(2010)10562-2
Keywords:
Siegel modular forms,
Hermitian modular forms.
Received by editor(s):
December 22, 2009
Received by editor(s) in revised form:
April 16, 2010, and April 28, 2010
Published electronically:
September 2, 2010
Communicated by:
Wen-Ching Winnie Li
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
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