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
β¦ LIBER β¦
A Hardy-Ramanujan formula for restricted partitions
β Scribed by Gert Almkvist; George E. Andrews
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 335 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-314X
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