利用高斯和的性质与Dirichlet L-函数的均值定理研究了一类Hardy和与Kloosterman和的混合均值问题.在一定条件下给出两个关于Hardy和与Kloosterman和的混合均值的精确计算公式,所得结果揭示了一定的相消性.
By using the properties of Gauss sums and the mean value theorem of the Dirichlet L‐function ,a hybrid mean value problem involving certain Hardy sums and Kloosterman sums was studied .Then two exact computational formulae for hybrid mean value problem involving certain Hardy sums and Kloosterman sums are given under certain conditions ,through w hich the cancellation phenomenon is revealed .