一类混合型数论函数的均值估计
发布时间：2018-08-02 18:19
【摘要】：设λ_f(n)是标准化的Hecke算子T_n的尖形式的傅立叶系数,σ(n)是除数和函数,?(n)是欧拉函数。利用解析的方法研究混合数论函数λ_f(n)σ~b(n)?~c(n)的平均阶估计,得到了上界估计Σn≤xλ_f(n)σ~b(n)?~c(n)■x~(b+c+1/2+ε),这里ε0是任意的。
[Abstract]:Let 位 _ s _ f (n) be the sharp Fourier coefficient of the standard Hecke operator T _ n, and 蟽 _ (n) be the divisor and the function? (n) is Euler's function. In this paper, we study the mean order estimation of the mixed number theory function 位 f (n) 蟽 b (n) (n) by analytic method, and obtain the upper bound estimate 危 n 鈮，
本文编号：2160299
[Abstract]:Let 位 _ s _ f (n) be the sharp Fourier coefficient of the standard Hecke operator T _ n, and 蟽 _ (n) be the divisor and the function? (n) is Euler's function. In this paper, we study the mean order estimation of the mixed number theory function 位 f (n) 蟽 b (n) (n) by analytic method, and obtain the upper bound estimate 危 n 鈮，
本文编号：2160299
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