Ebénézer Ntienjem

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math.NT2016

Elementary Evaluation of Convolution Sums involving primitive Dirichlet Characters for a Class of positive Integers

Ebénézer Ntienjem

We extend the results obtained by E. Ntienjem to all positive integers. Let $\EuFrak{N}$ be the subset of $N$ consisting of $2^{ν} ℧$ , where $ν$ is in ${0, 1, 2, 3}$ and…

math.NT2016

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

Ayşe Alaca, Şaban Alaca, Ebénézer Ntienjem

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

Elementary Evaluation of Convolution Sums involving primitive Dirichlet Characters for a Class of positive Integers

The convolution sum ∑al+bm=n​σ(l)σ(m) for (a,b)=(1,28),(4,7),(1,14),(2,7),(1,7)

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