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arXiv 0705.29952007-05-21math.GM

关于黎曼ζ函数的III部分

On the Riemann zeta-function, Part III

Anthony Csizmazia

备注：: 23 pages

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摘要：

一个奇亚纯函数f（s）是由在半加s处求值的黎曼ζ函数构造的.结合黎曼假设和作者提出的假设，得到了f（s）的部分分式展开式p（s）.第四部分利用复合假设和展开式p（s），导出了f（s）在所有s的开垂直带上的双边拉普拉斯变换表示，其实部在0和4之间。

英文摘要：

An odd meromorphic function f(s) is constructed from the Riemann zeta-function evaluated at one-half plus s. The partial fraction expansion, p(s), of f(s) is obtained using the conjunction of the Riemann hypothesis and hypotheses advanced by the author. That compound hypothesis and the expansion p(s) are employed in Part IV to derive the two-sided Laplace transform representation of f(s) on the open vertical strip of all s with real part between zero and four.

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