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arXiv · 2003.06890

Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series

Siu Hang Man
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Abstract

We compute explicit formulae for the constant terms and Fourier coefficients for Eisenstein series on $\operatorname{Sp}(4,\mathbb{R})$, in terms of zeta functions and Whittaker functions. We also develop a generalisation of Ramanujan sums to $\operatorname{Sp}(4,\mathbb{Z})$, which appears as coefficients in the Fourier expansion for the minimal Eisenstein series.

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Siu Hang Man. 2020-03-15. Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series. https://doi.org/10.4064/aa230511-16-1

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