Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9
The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight. In this article, we evaluate the convolution sums ∑al+bm=nlσ(l)σ(m)$$\begin{array}{} \displaystyle\sum\limits_{al+bm=n}\,l\sigma(l)\sigma(m)...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-12-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2017-0116 |