关于Dedekind和的m次加权均值(英文)

On the m-th Mean Value of Dedekind Sums

利用特征和估计、Dirichlet L─函数的性质及其解析方法讨论了Dedekind和的m次加权均值分布问题,得到一个有趣的加权均值分布的渐近公式。

Using the estimates for character sums and the property of Dirichlet L - function and the analytic method, the distribution of the m - th mean value of Dedekind sums is studied, and an interesting asymptotic formula is obtained.