Symmetries of the Three-Gap Theorem

DOI10.1080/00029890.2022.2158021OpenAlexW4317754179WikidataQ122998249 ScholiaQ122998249MaRDI QIDQ5880277

Roland K. W. Roeder, Aneesh Dasgupta

Publication date: 7 March 2023

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.01680

zbMATH Keywords

three gap theoremSteinhaus problem

Mathematics Subject Classification ID

Distribution modulo one (11J71) Homogeneous approximation to one number (11J04)

Cites Work

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• Nearest neighbor distances on a circle: Multidimensional case
• A short proof of the 3d distance theorem
• 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
• Higher dimensional Steinhaus and Slater problems via homogeneous dynamics
• A Five Distance Theorem for Kronecker Sequences

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