26543 articles – 20365 references  [version française]
Detailed view Preprint, Working Paper, ...
Available versions:
Attached file list to this document: 
PDF
ArticlePartitions.pdf(302.4 KB)
Une étude asymptotique probabiliste des coefficients d'une série entière
Bernard Candelpergher1, Michel Miniconi1

Following the ideas of Rosenbloom [7] and Hayman [5] we use a probabilistic way to study the asymptotic behavior of the coefficients of a power series. In this frame we give a convergence theorem to a normal distribution. We then apply the method of Luis Baez-Duarte [1] to the asymptotic study of the number of restricted partitions of a positive integer.
1:  JAD - Laboratoire Jean Alexandre Dieudonné
number theory – probability theory