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Incomplete exponential sums over exponential functions (1302.4170v1)
Published 18 Feb 2013 in math.NT
Abstract: We extend some methods of bounding exponential sums of the type $\displaystyle\sum_{n\le N}e{2\pi iagn/p}$ to deal with the case when $g$ is not necessarily a primitive root. We also show some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.