cSaban Alaca

most citedEvaluation of the Convolution Sum involving the Sum of Divisors Function for 14, 22 and 26

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math.NT2016

Explicit Evaluation of Double Gauss Sums

Şaban Alaca, Greg Doyle

We present an explicit evaluation of the double Gauss sum $G (a, b, c; S; p^{n}) := x, y = 0 \sum p^{n} - 1 e^{2 π i S (a x^{2} + b x y + c y^{2}) / p^{n}}$ , where $a, b, c$ are integers such that…

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…

math.NT2016★ 1 cited

Evaluation of the Convolution Sum involving the Sum of Divisors Function for 14, 22 and 26

Ayşe Alaca, Şaban Alaca, Ebénézer Ntienjem

For all natural numbers $n$ , we discuss the evaluation of the convolution sum, $(l, m) \in N_{0}^{2} α l + β m = n \sum σ (l) σ (m)$ , where $αβ=14,22,…

Explicit Evaluation of Double Gauss Sums

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

Evaluation of the Convolution Sum involving the Sum of Divisors Function for 14, 22 and 26

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