On some p-adic properties of Siegel-Eisenstein series |
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| Authors: | H. Katsurada |
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| Affiliation: | a Faculty of Engineering, Muroran Institute of Technology, Muroran, 050-8585 Japan
b Department of Mathematics, School of Science and Technology, Kinki University, Higashi-Osaka, 577-8502 Japan |
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| Abstract: | We introduce a formula for the p-adic Siegel-Eisenstein series which demonstrates a connection with the genus theta series and the twisted Eisenstein series with level p. We then prove a generalization of Serre's formula in the elliptic modular case. |
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