]. V. Chi67 and . Chistyakov, Discrete limit distributions in the problem of balls falling in cells with arbitrary probabilities, Math. Notes, vol.1, pp.6-11, 1967.

S. Corteel, B. Pittel, C. D. Savage, and H. S. Wilf, On the multiplicity of parts in a random partition, Random Structures and Algorithms, vol.35, issue.2, pp.185-197, 1999.
DOI : 10.1002/(SICI)1098-2418(199903)14:2<185::AID-RSA4>3.0.CO;2-F

P. Flajolet, X. Gourdon, and P. Dumas, Mellin transforms and asymptotics: Harmonic sums, Theoretical Computer Science, vol.144, issue.1-2, pp.3-58, 1995.
DOI : 10.1016/0304-3975(95)00002-E
URL : https://hal.archives-ouvertes.fr/inria-00074307

R. [. Flajolet and . Sedgewick, Analytic combinatorics ? symbolic combinatorics: Saddle point asymptotics. Book in preparation, 1994.
DOI : 10.1017/cbo9780511801655
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.160.5210

R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science, Computers in Physics, vol.3, issue.5, 1989.
DOI : 10.1063/1.4822863

[. Hitczenko and G. Louchard, Distinctness of compositions of an integer: A probabilistic analysis, Random Structures and Algorithms, vol.35, issue.3-4, pp.3-4407, 2000.
DOI : 10.1002/rsa.10008

[. Hitczenko, C. Rousseau, and C. D. Savage, A generating functionology approach to a problem of Wilf, Probabilistic methods in combinatorics and combinatorial optimization, pp.107-114, 2002.
DOI : 10.1016/S0377-0427(01)00462-9

C. [. Hitczenko and . Savage, On the multiplicity of parts in a random composition of a large integer Avalaible at http://www.csc.ncsu Measures of distinctness for random partitions and compositions of an integer, Adv. in Appl. Math, vol.19, issue.3, pp.378-414, 1997.

P. Jacquet and W. Szpankowski, Analytical depoissonization and its applications, Theoretical Computer Science, vol.201, issue.1-2, pp.1-62, 1998.
DOI : 10.1016/S0304-3975(97)00167-9

E. Donald and . Knuth, The art of computer programming Sorting and searching, Series in Computer Science and Information Processing, 1973.

]. G. Lou87 and . Louchard, Exact and asymptotic distributions in digital and binary search trees, RAIRO Inform. Théor. Appl, vol.21, issue.4, pp.479-495, 1987.

G. Louchard and H. Prodinger, Probabilistic analysis of Carlitz compositions, Discrete Math. Theor. Comput. Sci, vol.5, issue.1, pp.71-95, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00958973

V. [. Sevast¤-janov and . Cistjakov, Asymptotic normality in the classical problem of balls, Theory of Probability and Applications, pp.198-211, 1964.