-Norms of Exponential Sums and the Corresponding Additive Problem
M.Z. Garaev
Academia Sinica, Taipei, TaiwanKa-Lam Kueh
Academia Sinica, Taipei, Taiwan
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Abstract
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. 999–1006
DOI 10.4171/ZAA/1056