Abstract
In this paper we give an explicit formula of the Fourier coefficients of the Siegel Eisenstein series of degree 3, level $p$ with quadratic character. For the calculation we use the result of the generalized Gauss sum computed by Hiroshi Saito. After the tedious calculation we can get a rather simple result.
Funding Statement
This work was supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University.
Citation
Keiichi GUNJI. "On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character." J. Math. Soc. Japan 76 (1) 173 - 216, January, 2024. https://doi.org/10.2969/jmsj/88988898
Information
