A three gap theorem for the adeles
Number Theory
2021-07-13 v1 Dynamical Systems
Abstract
We prove a natural generalization of the classical three gap theorem, for rotations on adelic tori. Our proof is an adaptation to the adeles of the lattice based approach to gaps problems in Diophantine approximation originally introduced by Marklof and Str\"ombergsson.
Cite
@article{arxiv.2107.05147,
title = {A three gap theorem for the adeles},
author = {Akshat Das and Alan Haynes},
journal= {arXiv preprint arXiv:2107.05147},
year = {2021}
}
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12 pages