Siegel Eisenstein Series with Paramodular Level
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866918151307919360 |
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| author | Pierce, Erin Schmidt, Ralf |
| author_facet | Pierce, Erin Schmidt, Ralf |
| contents | Starting with a primitive Dirichlet character of conductor $N$, we construct a paramodular Siegel Eisenstein series of level $N^2$ and weight $k\geq4$. We calculate the Fourier expansion of the holomorphic Siegel modular form thus constructed. The function is a paramodular newform, and its adelization generates an irreducible automorphic representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04395 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Siegel Eisenstein Series with Paramodular Level Pierce, Erin Schmidt, Ralf Number Theory 11F46, 11F30, 11F70 Starting with a primitive Dirichlet character of conductor $N$, we construct a paramodular Siegel Eisenstein series of level $N^2$ and weight $k\geq4$. We calculate the Fourier expansion of the holomorphic Siegel modular form thus constructed. The function is a paramodular newform, and its adelization generates an irreducible automorphic representation. |
| title | Siegel Eisenstein Series with Paramodular Level |
| topic | Number Theory 11F46, 11F30, 11F70 |
| url | https://arxiv.org/abs/2509.04395 |