Théorie additive des nombres. Densité de Schnirelman

François Dress

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1967-1968)

  • Volume: 9, Issue: 2, page G1-G4

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Dress, François. "Théorie additive des nombres. Densité de Schnirelman." Séminaire Delange-Pisot-Poitou. Théorie des nombres 9.2 (1967-1968): G1-G4. <http://eudml.org/doc/110708>.

@article{Dress1967-1968,
author = {Dress, François},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {additive number theory; Shnirelman density; bases},
language = {fre},
number = {2},
pages = {G1-G4},
publisher = {Secrétariat mathématique},
title = {Théorie additive des nombres. Densité de Schnirelman},
url = {http://eudml.org/doc/110708},
volume = {9},
year = {1967-1968},
}

TY - JOUR
AU - Dress, François
TI - Théorie additive des nombres. Densité de Schnirelman
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1967-1968
PB - Secrétariat mathématique
VL - 9
IS - 2
SP - G1
EP - G4
LA - fre
KW - additive number theory; Shnirelman density; bases
UR - http://eudml.org/doc/110708
ER -

References

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  1. [1] Schnirelman.( L.). - Sur les propriétés additives des nombres [en russe], Izv. Donetz polytech. in. ta., t. 14, 1930, p. 3-28. 
  2. [2] Khinčin ( A.Ja.). - Über ein metrisches Problem der additiven Zahlentheorie, Mat. Sbornik, N. S., t. 40, 1933, p. 180-189. Zbl59.0200.01JFM59.0200.01
  3. [3] Erdös ( P.). - On the arithmetical density of the sum of two sequences, one of which forms a basis for the integers, Acta Arithm., Warszawa, t. 1, 1936, p. 197-200. Zbl0013.15001
  4. [4] Mann ( Henry B.). - A proof of the fundamental theorem on the density of sums of sets of positive integers, Annals of Math., 2e série, t. 43, 1942, p. 523-527. Zbl0061.07406MR6748
  5. [5] Linnik ( U.V.). - On Erdös's theorem on the addition of numerical sequences, Mat. Sbornik, N. S., t. 52, 1942, p. 67-78. Zbl0063.03574MR7406
  6. [6] Linnik ( U.V.). - Solution élémentaire du problème de Waring d'après la méthode de Schnirelman [en russe], Mat. Sbornik, N. S., t, 54, 1943, p. 225-230. Zbl0063.03580MR9777
  7. [7] Khinčin ( A.Ja.). - Trois théories liées en théorie des nombres, Fizmatgiz, 1948. 
  8. [8] Lorentz ( G.G.). - On a problem of additive number theory, Proc. Amer. Math. Soc., t. 5, 1954, p. 838-841. Zbl0056.03902MR63389
  9. [9] Stöhr ( Alfred) und Wirsing ( Eduard). - Beispiele von wesentlichen Komponenten, die keine Basen sind, J. für reine und angew. Math., t. 196, 1956, p. 96-98. Zbl0071.03903MR86088
  10. [10] Khinčin ( A.Ja.). - Three pearls in the theory of numbers. - Rochester, Graylock Press, 1952. 
  11. [11] Halberstam ( H.). and Roth ( K.F.). - Sequences. Vol. 1. - Oxford, at the Clarendon Press, 1966. Zbl0141.04405MR210679
  12. [12] Ostmann ( Hans Heinrich). - Additive Zahlentheorie. - Berlin, Göttingen, Heidelber, Springer-Verlag, 1956(Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge. Heft 11). Zbl0072.03102MR98721

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