Cancellations Amongst Kloosterman Sums

Published 19 Jan 2016 in math.NT | (1601.05123v2)

Abstract: We obtain several estimates for bilinear form with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel, and Mili\'cevi\'c (2014) and Fouvry, Kowalski and Michel (2014).

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