Upper bounds for the number of solutions of a Diophantine equation

Garaev, M.

doi:10.1090/S0002-9947-04-03611-6

Upper bounds for the number of solutions of a Diophantine equation
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Trans. Amer. Math. Soc. 357 (2005), 2527-2534 Request permission

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.

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