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Generalization of a theorem of Steinhaus

Tom 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

Streszczenie

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.

Autorzy

  • 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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