A three gap theorem for adeles

DOI10.1007/s11139-022-00648-3OpenAlexW3179450821WikidataQ115231677 ScholiaQ115231677MaRDI QIDQ2111880

Akshat Das, Alan K. Haynes

Publication date: 17 January 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.05147

zbMATH Keywords

adelesthree gap theoremSteinhaus problem

Mathematics Subject Classification ID

Distribution modulo one (11J71) Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Relations between ergodic theory and number theory (37A44)

Cites Work

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• Density of orbits of semigroups of endomorphisms acting on the adeles
• Parabolic type equations and Markov stochastic processes on adeles
• On Siegel's lemma
• 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 gap theorems for the maximum metric
• Higher dimensional Steinhaus and Slater problems via homogeneous dynamics

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