Dirichlet L-函数的四次加权均值

On the 4-th Weight Mean Value of Dirichlet L-Functions

利用广义Kloostermann和估计、特征和估计与解析方法研究了DirichletL-函数的四次加权均值,给出了均值分布的一个较为精确的渐近公式.

The 4-th weight mean of Dirichlet L-functions were studied by using the estimation of general Kloostermann sums,the estimation of character sum and the analytic method. An interesting asymptotic formula on distribution of the mean value was given.