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

• Autorzy: Jean-Marie De Koninck , Imre Kátai
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 72
• Numer: 2
• Strony: 169-200

Daty

wydano

1995

otrzymano

1994-06-20

Twórcy

autor

Jean-Marie De Koninck

• Département de Mathématiques et de Statistique, Université Laval, Cité Universitaire, Québec, Qué., Canada G1K 7P4

autor

Imre Kátai

• Institute of Mathematics, Eötvös University, Múzeum Krt. 6-8, 1088 Budapest, Hungary

Bibliografia

• [1] P. H. Diamanda, Some probability limit theorems with statistical applications, Proc. Cambridge Philos. Soc. 49 (1953), 239-246.
• [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] C. G. Esseen, Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law, Acta Math. 77 (1945), 1-125.
• [4] J. Galambos, Advanced Probability Theory, Marcel Dekker, New York, Basel, 1988.
• [5] I. M. Ibrakhimov and Yu. V. Linnik, Independent and Stationary Dependent Variables, Nauka, Moscow, 1965.
• [6] J. Kubilius, Probabilistic Methods in the Theory of Numbers, Amer. Math. Soc. Transl. Math. Monographs 11, Providence, 1964.
• [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.
• [8] G. Tenenbaum, Introduction à la théorie analytique et probabiliste des nombres, Inst. Élie Cartan 13, Univ. de Nancy, 1990.