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Abstract 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… Click to show full abstract
Abstract 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) $$\begin{array}{} \displaystyle\sum\limits_{al+bm=n}\,l\sigma(l)\sigma(m) \end{array} $$ for all positive integers a, b and n with ab ≤ 9 and gcd(a, b) = 1.
Keywords:
evaluation convolution;
convolution;
convolution sums
Journal Title: Open Mathematics
Year Published: 2017
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Journal Title: Open Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!