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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The Riemann Hypothesis implies that $varsigma " (s)$ and $varsigma ''' (s)$ have no zeros in the strip 0 leq Re,s < {1over 2} .
📌 3 Key Takeaways
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Objective & Hypothesis:There is only one pair of non-real zeros of $varsigma " (s)$, and of $varsigma ''' (s)$, in the left half-plane.
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Key Findings & Data:There is only one pair of non-real zeros of $varsigma " (s)$, and of $varsigma ''' (s)$, in the left half-plane.
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Conclusion & Impact:The Riemann Hypothesis implies that $varsigma " (s)$ and $varsigma ''' (s)$ have no zeros in the strip 0 leq Re,s < {1over 2} .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
There is only one pair of non-real zeros of $varsigma " (s)$, and of $varsigma ''' (s)$, in the left half-plane. The Riemann Hypothesis implies that $varsigma " (s)$ and $varsigma ''' (s)$ have no zeros in the strip 0 leq Re,s < {1over 2} .
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Cite This Article
YILDIRIM, C. Y. (2022). Zeros of $varsigma " (s)$ and $varsigma ''' (s)$ in $/sigma$ < 1/2. Turkish Journal of Mathematics, Cilt: 24 - Sayı: 1, 89–108. https://ajindex.com/articles/608916