Open Access
July, 2015 On the Siegel Eisenstein series of degree two for low weights
Keiichi GUNJI
J. Math. Soc. Japan 67(3): 1043-1067 (July, 2015). DOI: 10.2969/jmsj/06731043


In this paper, we give the Fourier coefficients of Siegel Eisenstein series of degree 2, level $p$, in order to calculate the dimensions of the space of Eisenstein series for low weights. The main methods of the calculation is to compute the Siegel series of level $p$ directly, following the similar way to that of Kaufhold.


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Keiichi GUNJI. "On the Siegel Eisenstein series of degree two for low weights." J. Math. Soc. Japan 67 (3) 1043 - 1067, July, 2015.


Published: July, 2015
First available in Project Euclid: 5 August 2015

zbMATH: 1329.11041
MathSciNet: MR3376577
Digital Object Identifier: 10.2969/jmsj/06731043

Primary: 11F46
Secondary: 11F30

Keywords: Eisenstein series , Siegel modular forms

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 3 • July, 2015
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