Effective rational approximation on spheres

DOI10.1016/j.jnt.2023.02.015OpenAlexW4360603745MaRDI QIDQ2700678

Zouhair Ouaggag

Publication date: 27 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.08924

zbMATH Keywords

effective equidistributionSiegel transformintrinsic Diophantine approximation

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous flows (37A17)

Related Items (1)

Second moment of the light-cone Siegel transform and applications

Cites Work

• Pointwise equidistribution with an error rate and with respect to unbounded functions
• Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
• Intrinsic Diophantine approximation on quadric hypersurfaces
• Asymptotic formulae for point lattices of bounded determinant and subspaces of bounded height
• A mean value theorem in geometry of numbers
• Metric Diophantine approximation on homogeneous varieties
• A Metrical Theorem in Diophantine Approximation
• Intrinsic Diophantine approximation on manifolds: General theory
• Diophantine Approximation and Automorphic Spectrum

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