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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The Riemann Hypothesis implies that z''(s) and z'''(s) have no zeros in the strip 0 \leq \Re\,s < {1\over 2} .
📌 3 Key Takeaways
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Objective & Hypothesis:There is only one pair of non-real zeros of z''(s), and of z'''(s), in the left half-plane.
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Key Findings & Data:There is only one pair of non-real zeros of z''(s), and of z'''(s), in the left half-plane.
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Conclusion & Impact:The Riemann Hypothesis implies that z''(s) and z'''(s) have no zeros in the strip 0 \leq \Re\,s < {1\over 2} .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Turk. J. Math. · (2000) · 89-108. Full text: pdf Other articles published in the same issue: Turk. J. Math.
Abstract
There is only one pair of non-real zeros of z''(s), and of z'''(s), in the left half-plane. The Riemann Hypothesis implies that z''(s) and z'''(s) have no zeros in the strip 0 \leq \Re\,s < {1\over 2} .
Özet
There is only one pair of non-real zeros of z''(s), and of z'''(s), in the left half-plane. The Riemann Hypothesis implies that z''(s) and z'''(s) have no zeros in the strip 0 \leq \Re\,s < {1\over 2} .
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Cite This Article
YILDIRIM, C. Y. (2000). Zeros of z''(s) & z'''(s) in s< 1/2. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 1, 89–108. https://ajindex.com/articles/723461