CAJ | 학술논문

利用广义二次 Kloosterman和的上界估计及Dirichlet 特征的正交性等研究了广义二次Kloosterman和模的平方与短区间上特征和模的平方的加权均值估计问题，给出了一个较强的渐近公式。所得结果表明该加权均值具有较好的渐近分布性质，广义二次Kloosterman和与特征和之间的联系得到了刻画。
이용엄의이차 Kloosterman화적상계고계급Dirichlet 특정적정교성등연구료엄의이차Kloosterman화모적평방여단구간상특정화모적평방적가권균치고계문제，급출료일개교강적점근공식。소득결과표명해가권균치구유교호적점근분포성질，엄의이차Kloosterman화여특정화지간적련계득도료각화。
With the aids of the upper bound of the general quadratic Kloosterman sum and the orthogonal-ity relation for the Dirichlet character ,mean square value on the modulus of the general quadratic Kloost-erman 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 .