Central Limit Theorems in Multiplicative Diophantine Approximation
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_ | 1866914265924894720 |
|---|---|
| author | Björklund, Michael Fregoli, Reynold Gorodnik, Alexander |
| author_facet | Björklund, Michael Fregoli, Reynold Gorodnik, Alexander |
| contents | We investigate the number of integer solutions to a multiplicative Diophantine approximation problem and show that the associated counting function converges in distribution to a normal law. Our approach relies on the analysis of correlations of measures on homogeneous spaces, together with estimates for Siegel transforms restricted to subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13726 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Central Limit Theorems in Multiplicative Diophantine Approximation Björklund, Michael Fregoli, Reynold Gorodnik, Alexander Number Theory Dynamical Systems Probability We investigate the number of integer solutions to a multiplicative Diophantine approximation problem and show that the associated counting function converges in distribution to a normal law. Our approach relies on the analysis of correlations of measures on homogeneous spaces, together with estimates for Siegel transforms restricted to subspaces. |
| title | Central Limit Theorems in Multiplicative Diophantine Approximation |
| topic | Number Theory Dynamical Systems Probability |
| url | https://arxiv.org/abs/2601.13726 |