5 citations · 9 across the 2 of their papers we have counts for
2 papers
math.NT2005★ 4 cited
New estimates of double trigonometric sums with exponential functions
M. Z. Garaev, A. A. Karatsuba
We establish a new bound for the exponential sum \begin{eqnarray*} \sum_{x\in\mathcal{X}}\Big|\sum_{y\in \mathcal{Y}}γ(y)\exp(2πi a λ^{xy}/p)\Big|, \end{eqnarray*} where is an…
math.NT2005★ 5 cited
On a symmetric congruence and its applications
M. Z. Garaev, A. A. Karatsuba
For a large integer we obtain an asymptotic formula for the number of solutions of a certain congruence modulo with four variables, where the variables belong to special s…