A remark on an explicit formula for the sums of powers of integers
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916657763450880 |
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| author | Cereceda, José L. |
| author_facet | Cereceda, José L. |
| contents | Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers $S_k(n) = 1^k +2^k +\cdots + n^k$. In this short note, we show that Samsonadze's formula corresponds to a well-known formula for $S_k(n)$ involving the Stirling numbers of the second kind. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on an explicit formula for the sums of powers of integers Cereceda, José L. General Mathematics Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers $S_k(n) = 1^k +2^k +\cdots + n^k$. In this short note, we show that Samsonadze's formula corresponds to a well-known formula for $S_k(n)$ involving the Stirling numbers of the second kind. |
| title | A remark on an explicit formula for the sums of powers of integers |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2503.14508 |