Waring-Goldbach problems for one square and higher powers
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908868732256256 |
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| author | Andrade, Geovane Matheus Lemes |
| author_facet | Andrade, Geovane Matheus Lemes |
| contents | We prove that every sufficiently large odd integer can be expressed as a sum of one square and fourteen fifth powers, all of primes. In addition, we establish that every sufficiently large even integer can be written as a sum of one square, one biquadrate, and twelve fifth powers of primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_05550 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Waring-Goldbach problems for one square and higher powers Andrade, Geovane Matheus Lemes Number Theory We prove that every sufficiently large odd integer can be expressed as a sum of one square and fourteen fifth powers, all of primes. In addition, we establish that every sufficiently large even integer can be written as a sum of one square, one biquadrate, and twelve fifth powers of primes. |
| title | Waring-Goldbach problems for one square and higher powers |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.05550 |