✦ LIBER ✦

Hardy and Ramanujan

✍ Scribed by Colin Adams

Book ID: 105995517
Publisher: Springer-Verlag
Year: 2010
Tongue: English
Weight: 196 KB
Volume: 33
Category: Article
ISSN: 0343-6993
DOI: 10.1007/s00283-010-9162-7

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📜 SIMILAR VOLUMES

Über einen Satz von Hardy-Ramanujan

✍ W. Fluch 📂 Article 📅 1969 🏛 Springer Vienna 🌐 English ⚖ 185 KB

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Verallgemeinerung eines Satzes von Hardy

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Hardy–Ramanujan's Asymptotic Formula for

Hardy–Ramanujan's Asymptotic Formula for Partitions and the Central Limit Theorem

✍ Luis Báez-Duarte 📂 Article 📅 1997 🏛 Elsevier Science 🌐 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