Levinson定理证明的一些简化 |
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引用本文: | 潘承彪.Levinson定理证明的一些简化[J].数学学报,1979,22(3):344-353. |
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作者姓名: | 潘承彪 |
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作者单位: | 华北农机学院 |
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摘 要: | <正> (一)1974年,Levinson N.证明了他的关于Riemann ζ-函数在直线σ=1/2上的零点个数的著名定理:对充分大的T有
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收稿时间: | 1977-2-2 |
A SIMPLIFICATION OF THE PROOF OF LEVINSON’S THEOREM |
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Institution: | Pan Cheng-biao(Huabei Institute of Agricultural Meohanization) |
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Abstract: | In 1974, N. Levinson proved his famous theorem: More than one third of zeros of Riemann's Zeta-function are on σ = 1/2. The key to realizing his method of proving this theorem was to calculate the following integralWhere U=TL~(-10),L=log T/2π,0
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