Counting integer points on affine surfaces with a side condition
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915478152151040 |
|---|---|
| author | Browning, Tim Verzobio, Matteo |
| author_facet | Browning, Tim Verzobio, Matteo |
| contents | We extend work of Heath-Brown and Salberger, based on the determinant method, to provide a uniform upper bound for the number of integral points of bounded height on an affine surface, which are subject to a polynomial congruence condition. This is applied to get a new uniform bound for points on diagonal quadric surfaces, and to a problem about the representation of integers as a sum of four unlike powers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counting integer points on affine surfaces with a side condition Browning, Tim Verzobio, Matteo Number Theory 11D45 (11D09, 11D41, 11P05) We extend work of Heath-Brown and Salberger, based on the determinant method, to provide a uniform upper bound for the number of integral points of bounded height on an affine surface, which are subject to a polynomial congruence condition. This is applied to get a new uniform bound for points on diagonal quadric surfaces, and to a problem about the representation of integers as a sum of four unlike powers. |
| title | Counting integer points on affine surfaces with a side condition |
| topic | Number Theory 11D45 (11D09, 11D41, 11P05) |
| url | https://arxiv.org/abs/2408.11453 |