定区间上某些特定三角和的上界估计
发布时间：2019-05-28 08:52
【摘要】：本课题主要利用Vaughan恒等式中的分拆的方法,在某种特定的区间内对(?)和(?)这两种特定形式的三角和分别做出了一个定量和定性的上界估计,从而得到了以下两条重要结论,定理1设实数α =α/q +θ/q2满足α≥0, (a,q)=1,1,|θ|≤1,整数x,.y满足3≤y≤x/(logx).令(?)为 Mangoldt 函数那么有定理2设(?)是定义在全模群Γ = SL(z)上权为k的全纯尖形式,(?),则
[Abstract]:In this paper, we mainly use the method of split in Vaughan identity to pair (?) And (?) The trigonometric sum of these two specific forms makes a quantitative and qualitative upper bound estimation respectively, and the following two important conclusions are obtained. Theorem 1 shows that the real number 伪 = 伪 / Q theta / Q2 satisfies 伪 鈮，
本文编号：2486917
[Abstract]:In this paper, we mainly use the method of split in Vaughan identity to pair (?) And (?) The trigonometric sum of these two specific forms makes a quantitative and qualitative upper bound estimation respectively, and the following two important conclusions are obtained. Theorem 1 shows that the real number 伪 = 伪 / Q theta / Q2 satisfies 伪 鈮，
本文编号：2486917
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