论文标题
$ \ operatorName {sp}（4）$ eisenstein系列的傅立叶系数
Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series
论文作者
论文摘要
我们根据Zeta函数和Whittaker函数计算Eisenstein系列的常数术语和Eisenstein系列的傅立叶系数的显式公式。我们还开发了Ramanujan的概括性，将其概括为$ \ permatatorName {sp}（4，\ Mathbb {z}）$，该$在Minimal Eisenstein系列的傅立叶扩展中显示为系数。
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.
