@article{SDPP_1978-1979__20_2_A9_0, author = {Erd\"os, Paul and Nicolas, Jean-Louis}, title = {Sur la fonction {\guillemotleft} nombre de facteurs premiers de n {\guillemotright}}, journal = {S\'eminaire Delange-Pisot-Poitou. Th\'eorie des nombres}, note = {talk:32}, pages = {1--19}, publisher = {Secr\'etariat math\'ematique}, volume = {20}, number = {2}, year = {1978-1979}, mrnumber = {582438}, zbl = {0422.10035}, language = {fr}, url = {http://archive.numdam.org/item/SDPP_1978-1979__20_2_A9_0/} }
TY - JOUR AU - Erdös, Paul AU - Nicolas, Jean-Louis TI - Sur la fonction « nombre de facteurs premiers de n » JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres N1 - talk:32 PY - 1978-1979 SP - 1 EP - 19 VL - 20 IS - 2 PB - Secrétariat mathématique UR - http://archive.numdam.org/item/SDPP_1978-1979__20_2_A9_0/ LA - fr ID - SDPP_1978-1979__20_2_A9_0 ER -
%0 Journal Article %A Erdös, Paul %A Nicolas, Jean-Louis %T Sur la fonction « nombre de facteurs premiers de n » %J Séminaire Delange-Pisot-Poitou. Théorie des nombres %Z talk:32 %D 1978-1979 %P 1-19 %V 20 %N 2 %I Secrétariat mathématique %U http://archive.numdam.org/item/SDPP_1978-1979__20_2_A9_0/ %G fr %F SDPP_1978-1979__20_2_A9_0
Erdös, Paul; Nicolas, Jean-Louis. Sur la fonction « nombre de facteurs premiers de n ». Séminaire Delange-Pisot-Poitou. Théorie des nombres, Tome 20 (1978-1979) no. 2, Exposé no. 32, 19 p. http://archive.numdam.org/item/SDPP_1978-1979__20_2_A9_0/
[And] On primitive sequences, J. London math. Soc., t. 42, 1967, p. 137-148. | MR | Zbl
. -[Com] Analyse combinatoire. Tomes 1 et 2. - Paris, Presses Universitaires de France, 1970(Collection SUP. "Le Mathématicien", 4 et 5). | MR | Zbl
. -[Del 1] Sur des formules dues à A. Selberg, Bull. Sc. math., 2e série, t. 83, 1959, p. 101-111. | MR | Zbl
. -[Del 2] Sur des formules de A. Selberg, Acta Arithm., Warszawa, t. 19, 1971, p. 105-146. | MR | Zbl
. -[Dieu] Calcul infinitésimal. - Hermann, Paris, 1968 (Collection Méthodes). | MR | Zbl
. -[Erd 1] On the integers having exactly k prime factors, Annals of Math., Series 2, t. 49, 1948, p. 53-66. | MR | Zbl
. -[Erd 2] On arithmetical properties of Lambert series, J. Indian math. Soc., t. 12, 1948, p. 63-66. | MR | Zbl
. -[Erd 3] On the distribution function of additive functions, Ann. of Math., Series 2, t. 47, 1946, p. 1-20. | MR | Zbl
. -[Hal 1] Sieve methods. - London, Academic Press, 1974(London mathematical Society Monographs, 4). | MR | Zbl
and . -[Hal 2] Sequences. - Oxford, at the Clarendon Press, 1966. | MR | Zbl
and . -[Har] The normal number of prime factors of a number n , Quart J. of Math., t. 48, 1917, p. 76-92 ; "Collected papers of Ramanujan", p. 262-275. - Cambridge, at the University Press, 1927. | JFM
and . -[Kac 1] On the Gaussian law of errors in the theory of additive functions, Proc. Nat. Acad. Sc., t. 25, 1939, p. 206-207. | Zbl
and . -[Kac 2] The Gaussian law of errors in the theory of additive functions, Amer. J. Math., t. 62, 1940, p. 738-742. | MR | Zbl
and . -[Kol] On the distribution of integers with a given number of prime factors (à paraître). | Zbl
and . -[Land] Handbuch der Lehre von der Verteilung der Primzahlen. - New York, Chelsea publishing Company, 1953. | MR | Zbl
. -[Lan] Sur la fonction plus grand facteur premier, Séminaire Delange-Pisot-Poitou, 16e année, 1974/75, n° G22, 29 p. | Numdam | Zbl
. -[Mon] On the large sieve, Mathematika, London, t. 20, 1973, p. 119-134. | MR | Zbl
and . -[Nel] 714 and 715 , J. recreational Mathematics, t. 7, 1974, p. 87-89.
, and . -[Nic] Répartition des nombres largement composés, Séminaire Delange-Pisot-Poitou, 19e année, 1977/78, n° 41, 10 p. | Numdam | MR | Zbl
. -; et Acta Arithm., Warszawa, t. 34, 1979, p. 379-390. | MR | Zbl
[Pis] Arithmetic problems concerning Cauchy's functional equation, Illinois J. of Math., t. 8, 1964, p. 40-56. | MR | Zbl
and . -[Pra] Primzahlverteilung. - Berlin, Springer-Verlag, 1957(Grundlehren der mathematischen Wissenschaften, 91). | MR | Zbl
. -[Ramac] A note on numbers with a large prime factor, II, J. Indian math. Soc., t. 34, 1970, p. 39-48. | MR | Zbl
. -[Ram] Asymptotic formulae for the distribution of integers of various types, Proc. London math. Soc., Series 2, t. 16, 1917, p. 112-132 | JFM
and . -; and "Collected papers", Vol. 1, p. 277-293.
[Rid] Rational approximations to algebraic numbers, Mathematika, London, t. 4, 1957, p. 125-131. | MR | Zbl
. -[Roth] Some asymptotic formulae in the theory of partitions, Quart. J. math., Oxford, Series 2, t. 5, 1954, p. 241-259. | MR | Zbl
and . -[Sat] On a problem of Hardy on the distribution of integers having a given number of prime factors, I, II, III, IV, J. Indian math. Soc., t. 17, 1953, p. 63-141 et t. 18, 1954, p. 27-81. | MR | Zbl
. -[Sch] Approximation to algebraic numbers, Enseign. math. Genève, t. 17, 1971, p. 187-253 ; et Genève, Enseignement mathématique, 1972(Monographies de l'Enseignement mathématique, 19). | MR | Zbl
. -[Sel 1] Note on a paper by L. G. Sathe, J. Indian math. Soc., t. 18, 1954, p. 83-87. | MR | Zbl
. -[Sel 2] On the normal density of primes in small intervals and the difference between consecutive primes, Arch. Math. Naturvid., t. 47, 1943, fasc. 6, p. 87-105. | MR | Zbl
. -[Tij] Of the equation of Catalan. - Acta Arithm., Warszawa, t. 29, 1976, p. 197-209. | MR | Zbl
. -[Tur] On a theorem of Hardy and Ramanujan, J. London math. Soc., t. 9, 1934, p. 274-276. | Zbl
. -[Wri] An introduction to the theory of numbers, 4th edition. - Oxford, at the Clarendon Press, 1960. | MR | Zbl
and . -