The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913946921861120 |
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| author | Guillera, Jesús |
| author_facet | Guillera, Jesús |
| contents | First we give general formulas for proving real or complex Ramanujan series for $1/π$. Then, as an example, we apply them for providing complete proofs of the fastest series for $1/π$ due to Ramanujan using Russell and Weber modular polynomials. We recommend the reader to use a Maple program which is in the web of the author for automatically proving any Ramanujan-type series for $1/π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_03968 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials Guillera, Jesús Number Theory First we give general formulas for proving real or complex Ramanujan series for $1/π$. Then, as an example, we apply them for providing complete proofs of the fastest series for $1/π$ due to Ramanujan using Russell and Weber modular polynomials. We recommend the reader to use a Maple program which is in the web of the author for automatically proving any Ramanujan-type series for $1/π$. |
| title | The fastest series for $1/π$ due to Ramanujan. Proofs from modular polynomials |
| topic | Number Theory |
| url | https://arxiv.org/abs/1911.03968 |