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On Hloosterman Sums with Oscillating Coefficients

On Hloosterman Sums with Oscillating Coefficients

Abstract An estimate for Kloosterman sums with oscillating coefficients is presented. Precisely we show: for any ϵ > 0 and a, b positive integers with ( a, b ) — 1 we have, Similar techniques may be used to estimate other Kloosterman sums with oscillating coefficients which are not smooth.