Year: 2021
Type: preprint
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 Strömbergsson.
Source: arXiv (Cornell University)
Authors: Das, Akshat, Haynes, Alan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394659374