In this note, a new estimate of -norm of certain exponential sum is obtained. At the same time, we establish a sharp lower bound for the cardinality of corresponding sumsets. In some cases this lower bound gives the true order of the cardinality.
Cite this article
M.Z. Garaev, Ka-Lam Kueh, -Norms of Exponential Sums and the Corresponding Additive Problem. Z. Anal. Anwend. 20 (2001), no. 4, pp. 999–1006DOI 10.4171/ZAA/1056