Journal d’Analyse Mathématique

, Volume 34, Issue 1, pp 61–85 | Cite as

Topological dynamics and combinatorial number theory

  • H. Furstenberg
  • B. Weiss


Arithmetic Progression Orbit Closure Topological Dynamics Compact Semigroup Finite Partition 
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  1. 1.
    A. Brauer,Über Sequenzen von Potenzresten, Sitzungsber. Preuss. Akad. Wiss. (1928), 9–16.Google Scholar
  2. 2.
    W. Deuber,Partitionen und lineare Gleichungs-systeme, Math. Z.133 (1973), 109–123.zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    R. Ellis,Locally compact transformation groups, Duke Math. J.24 (1957), 119–125.zbMATHCrossRefMathSciNetGoogle Scholar
  4. 4.
    H. Furstenberg,Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, J. Analyse Math.31 (1977), 204–256.zbMATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    D. Hilbert,Ueber die Irreducilität ganzer rationaler Functionen mit ganzzahligen Coefficienten, J. Math.110 (1892), 104–129.Google Scholar
  6. 6.
    N. Hindman,Finite sums from sequences within cells of a partition of N, J. Combinatorial TheoryA17 (1974), 1–11.CrossRefMathSciNetGoogle Scholar
  7. 7.
    R. Rado,Studien zur Kombinatorik Math. Z.36, (1933), 424–480.zbMATHCrossRefMathSciNetGoogle Scholar
  8. 8.
    R. Rado,Note on combinatorial analysis, Proc. London Math. Soc.48, (1943), 122–160.zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    I. Schur,Uber die Kongruenz x m+ym=zm (modp), Jahresber. Deutchen Math.-Ver.25 (1916), 114–117.Google Scholar
  10. 10.
    B. L. van der Waerden,Beweis einer Baudetschen Vermutung, Nieuw Arch. Wisk.15 (1927), 212–216.Google Scholar
  11. 11.
    B. L. van der Waerden,How the proof of Baudet’s Conjecture was found, Studies in Pure Math., Presented to R. Rado, L. Mirsky (ed.), London, 1971, pp. 251–260.Google Scholar

Copyright information

© The Weizmann Science Press of Israel 1978

Authors and Affiliations

  • H. Furstenberg
    • 1
  • B. Weiss
    • 1
  1. 1.Institute of MathematicsHebrew University of JerusalemJerusalemIsrael

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