一類混合型數(shù)論函數(shù)的均值估計(jì)
發(fā)布時(shí)間：2018-08-02 18:19
【摘要】：設(shè)λ_f(n)是標(biāo)準(zhǔn)化的Hecke算子T_n的尖形式的傅立葉系數(shù),σ(n)是除數(shù)和函數(shù),?(n)是歐拉函數(shù)。利用解析的方法研究混合數(shù)論函數(shù)λ_f(n)σ~b(n)?~c(n)的平均階估計(jì),得到了上界估計(jì)Σn≤xλ_f(n)σ~b(n)?~c(n)■x~(b+c+1/2+ε),這里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，
本文編號(hào)：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，
本文編號(hào)：2160299
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