关于四元二次型表整数个数的均值估计

The mean value on numbers of representation of integers by quaternary quadratic forms

利用数论函数的可乘性和狄里克雷卷积方法,研究了用四元二次型表整数个数的均值估计,并且得到了相应的渐近公式,推广了相关结果.

Using the multiplicative property of number theory function and Dirichlet＇s convolution method this paper studies the mean value of the number of representations of integers by quaternary quadratic forms and establishes an asymptotic formula, which generalizes the related result