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Results tagged with partitions
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user 1703
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Accepted
What literature is known about MacMahon's generalized sum-of-divisors function?
For anyone who comes by this later, it turns out that the following relationship is true for the functions $A_k(q)$:
$$
A_k(q) = \frac{1}{(2k+1)2k}\Big(\big(6A_1(q) + k(k-1)\big)A_{k-1}(q) - 2q\frac{d …
- 6,242
4
votes
2
answers
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What literature is known about MacMahon's generalized sum-of-divisors function?
MacMahon in the paper Divisors of Numbers and their Continuations in the Theory of Partitions defines several generalized notions of the sum-of-divisors function; for example, if we write $a_{n,k}$ for …
- 6,242