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Upper bounds for the number of solutions of a Diophantine equation
Authors:M. Z. Garaev
Affiliation:Instituto de Matemáticas UNAM, Campus Morelia, Ap. Postal 61-3 (Xangari) CP 58089, Morelia, Michoacán, México
Abstract:We give upper bound estimates for the number of solutions of a certain diophantine equation. Our results can be applied to obtain new lower bound estimates for the $L_1$-norm of certain exponential sums.

Keywords:Diophantine equation   Karatsuba's theorem   Konyagin's estimate
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