论文标题

关于分析函数对数的积分的通用littlewood定理用于计算无限和分析分析函数的零分析

On the use of the generalized Littlewood theorem concerning integrals of the logarithm of analytical functions for calculations of infinite sums and analysis of zeroes of analytical functions

论文作者

Sekatskii, Sergey K.

论文摘要

最近,我们已经建立并使用了有关分析函数对数的轮廓积分的广义小木定理,以获得与Riemann假设相等的一些新标准。在这里,使用相同的定理来计算某些无限总和并研究少数分析函数的零。

Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calculate certain infinite sums and study the properties of zeroes of a few analytical functions.

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