Sur la fonction Ω E ( n )

Michel Balazard

Groupe d'étude en théorie analytique des nombres (1984-1985)

  • Volume: 1, page 1-10

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Balazard, Michel. "Sur la fonction $\Omega _E(n)$." Groupe d'étude en théorie analytique des nombres 1 (1984-1985): 1-10. <http://eudml.org/doc/114199>.

@article{Balazard1984-1985,
author = {Balazard, Michel},
journal = {Groupe d'étude en théorie analytique des nombres},
keywords = {primes with divergent sum of reciprocals; number of prime factors; survey},
language = {fre},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Sur la fonction $\Omega _E(n)$},
url = {http://eudml.org/doc/114199},
volume = {1},
year = {1984-1985},
}

TY - JOUR
AU - Balazard, Michel
TI - Sur la fonction $\Omega _E(n)$
JO - Groupe d'étude en théorie analytique des nombres
PY - 1984-1985
PB - Secrétariat mathématique
VL - 1
SP - 1
EP - 10
LA - fre
KW - primes with divergent sum of reciprocals; number of prime factors; survey
UR - http://eudml.org/doc/114199
ER -

References

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  1. [1] Delange ( H.). - Sur des formules de Atle-Selberg, Acta Arithm., Warszawa, t. 19, 1971, p. 105-146. Zbl0217.31902MR289432
  2. [2] Delange ( H.). - A theorem on integral-valued additive functions, Illinois J. of Math., t. 18, 1974, p. 357-372. Zbl0284.10020MR369303
  3. [3] Elliott ( P.D.T.A.). - Probabilistic number theory. - New York, Heidelberg, Berlin, Springer-Verlag, 1979 (Grundlehren der mathematischen Wissenschaften, 239). Zbl0431.10029MR551361
  4. [4] Erdos ( P.). - On the integers having exactly k priue factors, Annals of Math., Series 2, t. 49, 1948, p. 53-66. Zbl0030.29604MR23279
  5. [5] Halasz ( G.). - On the distribution of additive and the mean values of multiplicative arithmetic functions, Studia, scient. Math. Hungar., t. 6, 1971, p. 211- 233. Zbl0226.10046MR319930
  6. [6] Halasz ( G.). - Remarks to my paper "On the distribution of additive and the mean values of multiplicative arithmetic functions", Acta Math. Acad. Scient. Hungar., t. 23, 1972, p. 425-432. Zbl0255.10046MR319931
  7. [7] Hardy ( G.H.). - Divergent series. - Oxford, Clarendon Press, 1949. Zbl0032.05801MR30620
  8. [8] Hardy ( G.H.) and Wright ( E.M.). - An introduction to the theory of numbers. 3e édition. - Oxford, Clarendon Press, 1954. Zbl0058.03301MR67125
  9. [9] Nicolas ( J.L.). - Autour de formules dues à A. Selberg. Colloque Hubert Delange. [Orsay, 1982] (Publication de l'Université Paris Sud). Zbl0521.10041MR728408
  10. [10] Nicolas ( J.L.). - Sur la distribution des entiers ayant une quantité fixée de facteurs premiers, Acta Arithm., Warszawa, t. 44, 1984, p. 191-200. Zbl0512.10034MR774099
  11. [11] Sarkozy ( A.). - Remarks on a paper of G. Halasz, Period. Math. Hungar., t. 8, 1977, p. 135-150 Zbl0361.10043MR480391
  12. [12] Sathe ( L.G.). - On a problem of Hardy on the distribution of integers having a given number of prime factors, I, II, III, IV, J. of Indian math. Soc., New Series, t. 17, 1953, p. 63-141 ; t. 18, 1954, p. 27-81. Zbl0050.27102MR56625
  13. [13] Selberg ( A.). - Note on a paper by L. G. Sathe, J. of Inclian math. Soc., New Series, t. 18, 1954, p. 83-87. Zbl0057.28502MR67143
  14. [14] Tenenbaum ( G.). - Cours de théorie analytique des nombres. Université de Bordeaux. Zbl0526.10001MR675777
  15. [15] Wirsing ( E.). - Das asymptotische Verhalten von Summer über multiplikative Funktionen, II, Acta Math. Acad. Scient. Hungar., t. 18, 1967, p. 411-467. Zbl0165.05901MR223318

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