Higher-dimensional gap theorems for the maximum metric

DOI10.1142/S1793042121500548zbMath1483.11143arXiv2010.08842OpenAlexW3116329831MaRDI QIDQ5009091

Juan J. Ramirez, Alan K. Haynes

Publication date: 19 August 2021

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

Full work available at URL: https://arxiv.org/abs/2010.08842

zbMATH Keywords

three gap theoremSteinhaus problem

Mathematics Subject Classification ID

Distribution modulo one (11J71) Relations between ergodic theory and number theory (37A44)

Related Items (3)

Multidimensional continued fractions and symbolic codings of toral translations ⋮ Some connections between discrepancy, finite gap properties, and pair correlations ⋮ A three gap theorem for adeles

Cites Work

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• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• On successive settings of an arc on the circumference of a circle
• The Three Gap Theorem and the Space of Lattices
• Distances dans la suite des multiples d'un point du tore à deux dimensions
• Higher dimensional Steinhaus and Slater problems via homogeneous dynamics

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