Uniform nonlinear Szemerédi theorem for corners in finite fields
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913642551705600 |
|---|---|
| author | Lim, Zi Li |
| author_facet | Lim, Zi Li |
| contents | Let $P(t),Q(t)\in \mathbb{Q}(t)$ be rational functions such that $P(t),Q(t)$ and the constant function $1$ are linearly independent over $\mathbb{Q}$, we prove an asymptotic formula for the number of the corner configurations $(x_1,x_2),(x_1+P(y),x_2),(x_1,x_2+Q(y))$ in the subsets of $\mathbb{F}_p^2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04887 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform nonlinear Szemerédi theorem for corners in finite fields Lim, Zi Li Number Theory Let $P(t),Q(t)\in \mathbb{Q}(t)$ be rational functions such that $P(t),Q(t)$ and the constant function $1$ are linearly independent over $\mathbb{Q}$, we prove an asymptotic formula for the number of the corner configurations $(x_1,x_2),(x_1+P(y),x_2),(x_1,x_2+Q(y))$ in the subsets of $\mathbb{F}_p^2$. |
| title | Uniform nonlinear Szemerédi theorem for corners in finite fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2501.04887 |