Hardy–Ramanujan's Asymptotic Formula for
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Luis Báez-Duarte
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Article
📅
1997
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Elsevier Science
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English
⚖ 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 Ä 1, the normalized X t are asymptotically Gaussian. The mode of convergence