L-series of Eisenstein series vanishing at critical values
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929307061846016 |
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| author | Franke, Johann |
| author_facet | Franke, Johann |
| contents | Using the relations between rational functions and Eisenstein series, as well as the inferences for cotangent sums and period polynomials, we work out a precise description for Eisenstein series whose $L$-series vanish at certain critical values. This is possible for small weights compared to the level of the Eisenstein series. For large weights we give a partial result and determine subspaces with simultaneous vanishing properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08230 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | L-series of Eisenstein series vanishing at critical values Franke, Johann Number Theory Using the relations between rational functions and Eisenstein series, as well as the inferences for cotangent sums and period polynomials, we work out a precise description for Eisenstein series whose $L$-series vanish at certain critical values. This is possible for small weights compared to the level of the Eisenstein series. For large weights we give a partial result and determine subspaces with simultaneous vanishing properties. |
| title | L-series of Eisenstein series vanishing at critical values |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.08230 |