On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910036574339072 |
|---|---|
| author | Gao, Meng Li, Jinjiang Long, Linji Zhang, Min |
| author_facet | Gao, Meng Li, Jinjiang Long, Linji Zhang, Min |
| contents | In this paper, it is proved that, for any $γ_1,γ_2,γ_3,γ_4,γ_5\in(\frac{28}{29},1)$, every sufficiently large integer $n$ subject to $n\equiv5\pmod{24}$ can be represented as the sum of five squares of primes, i.e., \begin{equation*} n=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2, \end{equation*} such that $p_i=\lfloor m_i^{1/γ_i}\rfloor$ for some $m_i\in\mathbb{N}^+$ for each $1\leqslant i\leqslant 5$. This result constitutes an improvement upon the previous result of Zhang and Zhai [29]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00660 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets Gao, Meng Li, Jinjiang Long, Linji Zhang, Min Number Theory In this paper, it is proved that, for any $γ_1,γ_2,γ_3,γ_4,γ_5\in(\frac{28}{29},1)$, every sufficiently large integer $n$ subject to $n\equiv5\pmod{24}$ can be represented as the sum of five squares of primes, i.e., \begin{equation*} n=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2, \end{equation*} such that $p_i=\lfloor m_i^{1/γ_i}\rfloor$ for some $m_i\in\mathbb{N}^+$ for each $1\leqslant i\leqslant 5$. This result constitutes an improvement upon the previous result of Zhang and Zhai [29]. |
| title | On the quadratic Waring-Goldbach problem with primes in Piatetski-Shapiro sets |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.00660 |