Effective rational approximation on spheres
نویسندگان
چکیده
We prove an effective estimate for the counting function of Diophantine approximants on sphere Sn. use homogeneous dynamics space orthogonal lattices, in particular equidistribution results and non-divergence estimates Siegel transform, developing recent Alam-Ghosh Kleinbock-Merrill.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2023
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2023.02.015