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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
📌 3 Key Takeaways
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Objective & Hypothesis:We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
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Key Findings & Data:We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
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Conclusion & Impact:We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Riemann zeta-function · Hardy class · Poisson representation
Abstract
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
Özet
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
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Cite This Article
OSTROVSKII, L. V., EROĞLU, K. I. (2022). On an Application of the Hardy Classes to the Riemann Zeta-Function. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 4, 545–551. https://ajindex.com/articles/608909