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Results tagged with ramanujan
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user 121059
11
votes
3
answers
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Evaluating the sum of $kl^2$ over $p,q,k,l$ such that $pk +ql = n$
Ramanujan has a formula for the discrete convolution of $\sigma_1$ with itself given by
$$(\sigma_1 \Delta \sigma_1)(n) = \frac{5}{12}\sigma_3(n) + \frac{1}{12}\sigma_1(n) - \frac{1}{2} n \sigma_1(n)$$ …
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