GENERALIZED TWISTED EXPONENTIAL SUM
Author:


2010 Mathematics Subject Classification:

11L05.

Keywords:

character sum, finite field, Gaussian integers, multiplicative inverse, twisted Kloosterman sum.

Abstract:

We give a bound for generalized twisted Kloosterman sum , , over the the ring of Gaussian integers . Similar sums have been considered by A. Knightly and C. Li over . Our result refines Knightly and Li estimates. Moreover, we obtain a bound for twisted exponential sums with the polynomials over subgroup of elements from the ring under condition . This result may be considered as a continuation of W.C.W. Li investigations on estimation of the character sum over the subgroup of consisting of elements whose norms with respect to are 1.

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Vol. 8 (16), 2013
