黎曼假设的反证

Igor Hrnčić
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引用次数: 0

摘要

本文将Titchmarsh的《黎曼ζ函数理论》一书中关于Perron反演公式的结果推广到表示ζ的倒函数的条件收敛级数的重排,从而证明了黎曼假设的否定。当人们将蒂奇马什定理及其后续证明中的条件收敛级数重新排列时,方程左边的大小改变了,但右边的大小保持不变。这个矛盾反驳了黎曼假设。
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Disproof of the Riemann Hypothesis
This paper disproves the Riemann hypothesis by generalizing the results about the Perron inversion formula from Titchmarsh's book The Theory of the Riemann Zeta-Function to rearrangements of conditionally convergent series that represent the reciprocal function of zeta. When one replaces the conditionally convergent series in Titchmarsh's theorems and consequent proofs by their rearrangements, the left hand sides of equations change their magnitude, but the right hand sides remain of the same magnitude. This contradiction disproves the Riemann hypothesis.
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