Ramanujan, the taxicab problem for polynomials, and the abc-conjecture
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913067087953920 |
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| author | Gyarmati, Katalin |
| author_facet | Gyarmati, Katalin |
| contents | Starting with Ramanujan's famous taxicab problem, we can study the solvability of the equations $p^n+q^n=r^n+s^n$ and, more generally, $p_1^{k_1}+\dots+p_m^{k_m}=0$ among polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25017 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ramanujan, the taxicab problem for polynomials, and the abc-conjecture Gyarmati, Katalin Number Theory Starting with Ramanujan's famous taxicab problem, we can study the solvability of the equations $p^n+q^n=r^n+s^n$ and, more generally, $p_1^{k_1}+\dots+p_m^{k_m}=0$ among polynomials. |
| title | Ramanujan, the taxicab problem for polynomials, and the abc-conjecture |
| topic | Number Theory |
| url | https://arxiv.org/abs/2604.25017 |