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Results tagged with generating-functions
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user 32332
A generating function is a way of encoding an infinite sequence of numbers by treating them as the coefficients of a formal power series. Tag questions involving generating functions in this.
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Partitions-sum of divisors identity
2.) There is a proof, due to P. Erdös, in the Annals of Mathematics (2), 43, 1942, pp. 437-450, which does not use the generating function, but rather proves the identity
$$
np(n)=\sum_{m=1}^n \sum_{k …
- 12.1k