The convolution sum ${\sum }_{al+bm=n}\sigma (l)\sigma (m)$ for $(a,b)=(1,28),(4,7),(1,14),(2,7),(1,7)$

Ayşe Alaca, Şaban Alaca, Ebénézer Ntienjem

We evaluate the convolution sum $W_{a,b}(n):=\sum _{al+bm=n}\sigma (l)\sigma (m)$ for $(a,b)=(1,28),(4,7),(2,7)$ for all positive integers $n$. We use a modular…