关于一类新型Dedekind和的混合均值

ON THE HYBRID MEAN OF NEW DEDEKIND SUMS

本文研究了一类新型Dedekind和的混合均值问题.利用Dirichlet L-函数的均值性质,给出了新型Dedekind和的混合和均值的渐近公式,推广和发展了关于Dedekind和问题的已有结果,促进了相关领域的研究.

In this paper,the hybrid mean of new Dedekind sums is studied.By using the mean value theorem for Dirichlet L-function,we give asymptotic formulas for the hybrid mean of new Dedekind sums,which generalize and develop existed results on Dedekind sums.