The Three Gap Theorem and Periodic Functions

zbMath1493.11022arXiv2202.05921MaRDI QIDQ5088729

A. Suki Dasher, A. Hermida, Tian An Wong

Publication date: 13 July 2022

Full work available at URL: https://arxiv.org/abs/2202.05921

zbMATH Keywords

three gap theorempiecewise-linear periodic functions

Mathematics Subject Classification ID

Density, gaps, topology (11B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of the 3d distance theorem
• The three gap theorem and Riemannian geometry
• A short proof of the 3d distance theorem
• Three distance theorems and combinatorics on words
• GAPS BETWEEN FRACTIONAL PARTS, AND ADDITIVE COMBINATORICS
• On the distribution of the distances of multiples of an irrational number to the nearest integer
• On successive settings of an arc on the circumference of a circle
• Some constructions for the higher-dimensional three-distance theorem
• Higher dimensional Steinhaus and Slater problems via homogeneous dynamics

This page was built for publication: The Three Gap Theorem and Periodic Functions