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Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp

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Abstract

Let p be an odd prime. In this paper we compute the Fourier coefficients of the Siegel Eisenstein series of degree 2, level p with the trivial or the quadratic character, associated to a certain cusp. For that we need to define the p-factor of the special type of Siegel series with character.

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Acknowledgements

The author thanks to Professor Hidenori Katsurada, who invited him to Muroran Institute of Technology and gave many useful comments.

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Correspondence to Keiichi Gunji.

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Communicated by Jens Funke.

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Gunji, K. Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp. Abh. Math. Semin. Univ. Hambg. 92, 69–83 (2022). https://doi.org/10.1007/s12188-021-00255-x

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