Symplectic Kloosterman Sums for $\operatorname{Sp}(2n)$ with Powerful Moduli
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908720211951616 |
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| author | Felber, Gilles |
| author_facet | Felber, Gilles |
| contents | We prove a non-trivial bound for $\operatorname{Sp}(2n)$ Kloosterman sums of moduli not equal to a prime multiple of the identity. These sums are attached to Siegel modular forms on the group $\operatorname{Sp}(2n)$ and appear in the corresponding Petersson formula. We give an application to equidistribution of coprime symmetric pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic Kloosterman Sums for $\operatorname{Sp}(2n)$ with Powerful Moduli Felber, Gilles Number Theory 11L05, 11L07 We prove a non-trivial bound for $\operatorname{Sp}(2n)$ Kloosterman sums of moduli not equal to a prime multiple of the identity. These sums are attached to Siegel modular forms on the group $\operatorname{Sp}(2n)$ and appear in the corresponding Petersson formula. We give an application to equidistribution of coprime symmetric pairs. |
| title | Symplectic Kloosterman Sums for $\operatorname{Sp}(2n)$ with Powerful Moduli |
| topic | Number Theory 11L05, 11L07 |
| url | https://arxiv.org/abs/2512.16680 |