Paramodular forms from Calabi-Yau Operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911994574012416 |
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| author | Gegelia, Nutsa van Straten, Duco |
| author_facet | Gegelia, Nutsa van Straten, Duco |
| contents | In this note we report on the conjectural identification of paramodular forms from Calabi-Yau motives of Hodge type (1, 1, 1, 1) of moderately low conductor. We calculate Euler factors from Calabi-Yau operators from the AESZ database by the method described in P. Candelas, X. dela Ossa and D. van Straten, seek a fit with the tables provided by E. Assaf, W. Ladd, G. Rama, G. Tornaria, and J. Voight and for consistency check the approximate functional equation for the Euler product for primes < 1000 numerically, using the PARI implementation of T. Dokchitser's method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10183 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Paramodular forms from Calabi-Yau Operators Gegelia, Nutsa van Straten, Duco Number Theory Algebraic Geometry 14J32, 14G10, 11G40 In this note we report on the conjectural identification of paramodular forms from Calabi-Yau motives of Hodge type (1, 1, 1, 1) of moderately low conductor. We calculate Euler factors from Calabi-Yau operators from the AESZ database by the method described in P. Candelas, X. dela Ossa and D. van Straten, seek a fit with the tables provided by E. Assaf, W. Ladd, G. Rama, G. Tornaria, and J. Voight and for consistency check the approximate functional equation for the Euler product for primes < 1000 numerically, using the PARI implementation of T. Dokchitser's method. |
| title | Paramodular forms from Calabi-Yau Operators |
| topic | Number Theory Algebraic Geometry 14J32, 14G10, 11G40 |
| url | https://arxiv.org/abs/2408.10183 |