An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909552283222016 |
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| author | Treeby, David Wang, Edward |
| author_facet | Treeby, David Wang, Edward |
| contents | We present an extension of the Prouhet-Tarry-Escott problem by demonstrating that signed sums of noninteger powers of consecutive integers can be made arbitrarily close to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_19919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers Treeby, David Wang, Edward History and Overview Number Theory 26C99, 40A05, 40A30 We present an extension of the Prouhet-Tarry-Escott problem by demonstrating that signed sums of noninteger powers of consecutive integers can be made arbitrarily close to zero. |
| title | An Extension of the Prouhet-Tarry-Escott Problem to Nonnegative, Noninteger Powers |
| topic | History and Overview Number Theory 26C99, 40A05, 40A30 |
| url | https://arxiv.org/abs/2503.19919 |