On the distribution of subsets of primes in the prime factorization of integers

Jean-Marie De Koninck; Imre Kátai

Acta Arithmetica (1995)

  • Volume: 72, Issue: 2, page 169-200
  • ISSN: 0065-1036

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Jean-Marie De Koninck, and Imre Kátai. "On the distribution of subsets of primes in the prime factorization of integers." Acta Arithmetica 72.2 (1995): 169-200. <http://eudml.org/doc/206790>.

@article{Jean1995,
author = {Jean-Marie De Koninck, Imre Kátai},
journal = {Acta Arithmetica},
keywords = {prime factorization of integers},
language = {eng},
number = {2},
pages = {169-200},
title = {On the distribution of subsets of primes in the prime factorization of integers},
url = {http://eudml.org/doc/206790},
volume = {72},
year = {1995},
}

TY - JOUR
AU - Jean-Marie De Koninck
AU - Imre Kátai
TI - On the distribution of subsets of primes in the prime factorization of integers
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 2
SP - 169
EP - 200
LA - eng
KW - prime factorization of integers
UR - http://eudml.org/doc/206790
ER -

References

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  1. [1] P. H. Diamanda, Some probability limit theorems with statistical applications, Proc. Cambridge Philos. Soc. 49 (1953), 239-246. 
  2. [2] P. H. Diamanda, The central limit theorem for m-independent variables asymptotically stationary to second order, Proc. Cambridge Philos. Soc. 50 (1954), 287-292. 
  3. [3] C. G. Esseen, Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law, Acta Math. 77 (1945), 1-125. 
  4. [4] J. Galambos, Advanced Probability Theory, Marcel Dekker, New York, Basel, 1988. 
  5. [5] I. M. Ibrakhimov and Yu. V. Linnik, Independent and Stationary Dependent Variables, Nauka, Moscow, 1965. 
  6. [6] J. Kubilius, Probabilistic Methods in the Theory of Numbers, Amer. Math. Soc. Transl. Math. Monographs 11, Providence, 1964. Zbl0133.30203
  7. [7] T. F. Móri, More on the waiting time till each of some given patterns occurs as a run, Canad. J. Math. 42 (1990), 915-932. Zbl0717.60015
  8. [8] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Inst. Élie Cartan 13, Univ. de Nancy, 1990. 

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