Series for $1/π$ arising from Cauchy product
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908953567297536 |
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| author | Lan, Roman Le |
| author_facet | Lan, Roman Le |
| contents | In this note, we evaluate a series for $1/π$ conjectured by Sun. Our proof uses the Cauchy product and hypergeometric transformations. From this result, we derive two additional analogous series for $1/π$ involving polynomials of degree $3$. Further identities can be proved using our method; these are presented in a table at the end of the note. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03327 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Series for $1/π$ arising from Cauchy product Lan, Roman Le Number Theory 11Y60 (Primary) 33C05, 33F10 (Secondary) In this note, we evaluate a series for $1/π$ conjectured by Sun. Our proof uses the Cauchy product and hypergeometric transformations. From this result, we derive two additional analogous series for $1/π$ involving polynomials of degree $3$. Further identities can be proved using our method; these are presented in a table at the end of the note. |
| title | Series for $1/π$ arising from Cauchy product |
| topic | Number Theory 11Y60 (Primary) 33C05, 33F10 (Secondary) |
| url | https://arxiv.org/abs/2604.03327 |