Autor:	Zouhair Ouaggag
Rok vydání:	2023
Předmět:	Mathematics::Dynamical Systems Algebra and Number Theory Mathematics - Number Theory Mathematics::Number Theory FOS: Mathematics Number Theory (math.NT) Dynamical Systems (math.DS) Mathematics - Dynamical Systems
Zdroj:	Journal of Number Theory. 249:183-208
ISSN:	0022-314X
Popis:	We prove an effective estimate for the counting function of Diophantine approximants on the sphere S$^n$. We use homogeneous dynamics on the space of orthogonal lattices, in particular effective equidistribution results and non-divergence estimates for the Siegel transform, developping on recent results of Alam-Ghosh and Kleinbock-Merrill.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0a7b27d0d8216240b36d09dea74c70e https://doi.org/10.1016/j.jnt.2023.02.015 Zobrazit plný text záznamu Full Text from ScienceDirect