Generalization of a theorem of Steinhaus

• Autorzy: C. Cobeli , G. Groza , M. Vâjâitu , A. Zaharescu
• Języki publikacji: EN

Abstrakty

EN

We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.

Kategorie tematyczne

• 11K06: General theory of distribution modulo 1
• 11B05: Density, gaps, topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 92
• Numer: 2
• Strony: 257-266

Daty

wydano

2002

Twórcy

autor

C. Cobeli

• Institute of Mathematics, of the Romanian Academy, P.O. Box 1-764, Bucureşti 70700, Romania

autor

G. Groza

• Technical University of Civil Engineering, Lacul Tei 124, Bucureşti 72302, Romania

autor

M. Vâjâitu

• Institute of Mathematics, of the Romanian Academy, P.O. Box 1-764, Bucureşti 70700, Romania

autor

A. Zaharescu

• Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green St., Urbana, IL 61801, U.S.A.

Identyfikatory

DOI

10.4064/cm92-2-9