𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic relations for partitions

✍ Scribed by L.B Richmond

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
662 KB
Volume
7
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Hardy–Ramanujan's Asymptotic Formula for
Hardy–Ramanujan's Asymptotic Formula for Partitions and the Central Limit Theorem
✍ Luis BΓ‘ez-Duarte πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 668 KB

Let f (z) be the generating function of the sequence [ p(n)] of unrestricted partitions of n, and let X t be an integral random variable taking the value n with probability ( f (t)) &1 p(n) t n . It is shown here that, as t Γ„ 1, the normalized X t are asymptotically Gaussian. The mode of convergence