Méthodes probabilistes en théorie des nombres

Paul Erdös

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1973-1974)

  • Volume: 15, Issue: 1, page 1-4

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Erdös, Paul. "Méthodes probabilistes en théorie des nombres." Séminaire Delange-Pisot-Poitou. Théorie des nombres 15.1 (1973-1974): 1-4. <http://eudml.org/doc/110854>.

@article{Erdös1973-1974,
author = {Erdös, Paul},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {fre},
number = {1},
pages = {1-4},
publisher = {Secrétariat mathématique},
title = {Méthodes probabilistes en théorie des nombres},
url = {http://eudml.org/doc/110854},
volume = {15},
year = {1973-1974},
}

TY - JOUR
AU - Erdös, Paul
TI - Méthodes probabilistes en théorie des nombres
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1973-1974
PB - Secrétariat mathématique
VL - 15
IS - 1
SP - 1
EP - 4
LA - fre
UR - http://eudml.org/doc/110854
ER -

References

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  1. [1] Cramer ( H.). - On the order of magnitude of the difference between consecutive prime numbers, Acta Arithmetica, Warszawa, t. 2, 1937, p. 23-46. JFM62.1147.01
  2. [2] Davenport ( H.). - Uber numeri abundantes, Sitzungsber. Akad. Berlin, 1933, p. 830-837. Zbl59.0948.04JFM59.0948.04
  3. [3] Erdös ( P.). - On a problem of Chowla and some related problems, Proc. Cambridge philos. Soc., t. 32, 1936, p. 530-540. Zbl0015.24603
  4. [4] Erdös ( P.). - Note on the number of prime divisors of integers, J. London math. Soc., t. 12, 1937, p. 308-314. Zbl0017.24602
  5. [5] Erdös ( P.) and Wintner ( A.). - Additive arithmetic functions and statistical independance, Amer. J. of Math., t. 61, 1939, p. 713-722. Zbl0022.00903MR247
  6. [6] Erdös ( P.) and Kac ( M.). - The Gaussian law of errors in the theory of additive number theoretic functions, Amer. J. of Math., t. 62, 1940, p. 738-742. Zbl0024.10203MR2374
  7. [7] Erdös ( P.). - On a problem of Sidon in additive number theory, Acta Scient. Math., Szeged, t. 15, 1954, p. 255-259. Zbl0057.03901MR64799
  8. [8] Erdös ( P.). - Problems and results in additive number theory, "Colloque sur la théorie des nombres [1955. Bruxelles]", p. 127-137. - Liège, G. Thone ; Paris, Masson, 1956 (Centre belge de Recherches mathématiques). Zbl0073.03102MR79027
  9. [9] Halberstam ( H.) and Roth ( K.F. ) . - Sequences. - Oxford, at the Clarendon Press, 1966. Zbl0141.04405MR210679
  10. [10] Huxley ( M.N.). - The distribution of prime numbers. Large sieves and zero-density theorems. - Oxford, at the Clarendon Press, 1972 (Oxford mathematical Monographs). Zbl0248.10030MR444593
  11. [11] Kubilius ( J.). - Probabilistic methods in the theory of numbers, vol. 11. Translations of mathematical Monographs. Zbl0133.30203MR160745
  12. [12] Levêque ( W.J.). - On the size of certain number theoretic functions, Trans. Amer. math. Soc., t. 66, 1949, p. 440-463. Zbl0036.30501MR30993
  13. [13] Rankin ( R.A.). - The différence between consecutive prime numbers, V, Proc. Edimburgh math. Soc., t. 13, 1963, p. 331-332. Zbl0121.04705MR160767
  14. [14] Schoenberg ( I.J.). - On asymptotic distributions of arithmetical functions, Trans. Amer. math. Soc., t. 39, 1936, p. 315-330. Zbl0013.39302MR1501849
  15. [15] Wall ( C.R. ) . - Density bounds for the sum of divisors function, "The theory of arithmetic functions [1971. Kalamazoo]", p. 283-287. - Berlin, Springer-Verlag, 1972 (Lecture Notes in Mathematics, 251). Zbl0227.10035MR345921
  16. [16] Wirsing ( E.). - A characterization of log n as an additive arithmetic function, "Symposia Mathematica, vol. 4 : Teoria dei numeri [1968. Roma]", p. 45-57. - London and New York, Academic Press, 1970 (Istituto nazionale di Alta Matematica) . Zbl0223.10036MR271049

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