HardyβRamanujan's Asymptotic Formula for
β
Luis BΓ‘ez-Duarte
π
Article
π
1997
π
Elsevier Science
π
English
β 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