Definition:Integer Partition/Partition Function
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Definition
The partition function $p: \Z_{>0} \to \Z_{>0}$ is defined as:
- $\forall n \in \Z_{>0}: \map p n =$ the number of partitions of the (strictly) positive integer $n$.
Sources
- 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.21$: Euler ($\text {1707}$ – $\text {1783}$)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): partition function