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Adding the Rademacher's formula for partition function. |
Add more information for Rademacher's formula |
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<math display="block">A_k(n) = \sum_{0 \le m < k, \; (m, k) = 1}
e^{ \pi i \left( s(m, k) - 2 nm/k \right) }.</math>
and <math>s(m,k)</math> is the [[Dedekind sum]].
The [[multiplicative inverse]] of its generating function is the [[Euler function]]; by Euler's [[pentagonal number theorem]] this function is an alternating sum of [[pentagonal number]] powers of its argument.
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