Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| Accesso online: | |
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| _version_ | 1866910458845331456 |
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| author | Man, Siu Hang |
| author_facet | Man, Siu Hang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_06890 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series Man, Siu Hang Number Theory 11E45, 11F12, 11F30, 11F46 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. |
| title | Fourier coefficients of $\operatorname{Sp}(4)$ Eisenstein Series |
| topic | Number Theory 11E45, 11F12, 11F30, 11F46 |
| url | https://arxiv.org/abs/2003.06890 |