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Sumsets of reciprocals in prime fields and multilinear Kloosterman sums (1211.4184v1)
Published 18 Nov 2012 in math.NT
Abstract: We obtain new results on additive properties of the set $$ I{-1}= {x{-1}: \quad x\in I} $$ where $I$ is an arbitrary interval in the field of residue classes modulo a large prime $p$. We combine our results with multilinear exponential sum estimates and obtain new results on incomplete multilinear Kloosterman sums.