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arXiv 1107.3479math.GM
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黎曼ζ函数的递推关系和函数方程

Recursion Relations and Functional Equations for the Riemann Zeta Function

Henrik Stenlund

摘要:

引入了黎曼ζ函数的新的递推关系。它们的推导是从标准的函数方程开始的。新的函数方程具有实增量和虚增量两种形式,可应用于整个复平面。我们已经开发了各种版本的递归关系消除每个系数函数,留下平原zeta函数

英文摘要:

New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginary increment versions and can be applied over the whole complex plane. We have developed various versions of the recursion relations eliminating each of the coefficient functions, leaving plain zeta functions

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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