Weighted mean value on the general quadratic Kloosterman sum(II)
MA Yuan-ku · Basic Sciences Journal of Textile Universities · 2014
With the aids of the upper bound of the general quadratic Kloosterman sum and the orthogonality relation for the Dirichlet character,mean square value on the modulus of the general quadratic Kloosterman sum weighted by the character sum over a short interval was studied,and one sharp asymptotic formula was obtained.It showed that the general quadratic Kloosterman sum enjoys good distributive properties.The connection between the general quadratic Kloosterman sum and the character sum was established.