Generalization of a theorem of Steinhaus

C. Cobeli; G. Groza; M. Vâjâitu; A. Zaharescu

doi:10.4064/cm92-2-9

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Generalization of a theorem of Steinhaus

Volume 92 / 2002

C. Cobeli, G. Groza, M. Vâjâitu, A. Zaharescu Colloquium Mathematicum 92 (2002), 257-266 MSC: 11K06, 11B05. DOI: 10.4064/cm92-2-9

Abstract

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.

Authors

C. CobeliInstitute of Mathematics
of the Romanian Academy
P.O. Box 1-764
Bucureşti 70700, Romania
e-mail
G. GrozaTechnical University of Civil Engineering
Lacul Tei 124
Bucureşti 72302, Romania
e-mail
M. VâjâituInstitute of Mathematics
of the Romanian Academy
P.O. Box 1-764
Bucureşti 70700, Romania
e-mail
A. ZaharescuDepartment of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green St.
Urbana, IL 61801, U.S.A.
e-mail

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Publishing house / Journals and Serials / Colloquium Mathematicum / All issues

Colloquium Mathematicum

Generalization of a theorem of Steinhaus

Volume 92 / 2002

Abstract

Authors

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