黎曼ζ函数在点的调和组合处的ω定理
omega-Theorems for Riemann's Zeta-Function at Harmonic Combinations of Points.
作者信息
Levinson N
机构信息
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass. 02139.
出版信息
Proc Natl Acad Sci U S A. 1972 Jul;69(7):1657-8. doi: 10.1073/pnas.69.7.1657.
Abstract
For integer r >/= 2 there are arbitrarily large T for which [Formula: see text] With s = sigma + it, corresponding results hold for sigma = c, 1/2 </= c < 1, and for 1/zeta(1 + it). A similar result holds for [Formula: see text].
摘要
对于整数(r \geq 2)，存在任意大的(T)，使得[公式：见原文] 。设(s = \sigma + it)，对于(\sigma = c)，(\frac{1}{2} \leq c < 1)以及(\frac{1}{\zeta(1 + it)})，相应的结果成立。对于[公式：见原文]，类似的结果也成立。
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引用本文的文献
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omega-Theorems for Quotients of Zeta-Functions at Combinations of Points.关于ζ函数在点的组合处商的ω定理。
Proc Natl Acad Sci U S A. 1972 Sep;69(9):2528-9. doi: 10.1073/pnas.69.9.2528.
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