摘要
设N(α,T)表示ζ(α+il)在区域α≤σ≤1,|l|≤T中零点的个数,本文证明了当 49/54≤α<1时,有N(α,T)(?)T44(1-α)/27(2α-1)+e从而改进了俞孔榳,李鸿一关于ζ函数零密度估计的结论,即当 509/560≤α<1时,有N(α,T)≤T229(1-α)/140(2α-1)
Let N(α,T) denote the numberζ(δ+it) withα≤α≤1,|t|≤T, the following is proved by the author. When 49/54≤α<1, then N(a,T)《T44(1-α)/27(2α-1)+(?) an this way, if serves an improvement on the result reached by Yu Kongting and Li Hongyi about ε-function Zero points density.
出处
《浙江师大学报（自然科学版）》
1993年第3期25-27,共3页
Journal of Zhejiang Normal University(Natoral Sciences)
