Integer partition: Difference between revisions

Revision as of 02:36, 20 March 2024

Revision as of 14:39, 22 March 2024

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:<math>p(n) \sim \frac {1} {4n\sqrt3} \exp\left({\pi \sqrt {\frac{2n}{3}}}\right)</math> as <math>n \to \infty</math>

In 1937, [[Hans Rademacher]] had found out a way to represent the partition function <math>p(n)</math> by the [[convergent series]].

<math display="block">p(n) = \frac{1}{\pi \sqrt{2}} \sum_{k=1}^\infty A_k(n)\sqrt{k} \cdot