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Ayal Sharon
Observed name:
Sharon, Ayal
Institution:
United States Patent and Trademark Office
Observed institution:
United States Patent and Trademark Office
ORCID:
0000-0002-5690-6181
Observed ORCID:
0000-0002-5690-6181
OpenAlex ID:
A5080934429
Analytic Continuation of $ζ(s)$ Violates the Law of Non-Contradiction (LNC)
2018
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Sharon, Ayal
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arXiv (Cornell University)
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3
PDF
Improving Patent Examination Efficiency and Quality: An Operations Research Analysis of the USPTO, using Queuing Theory
2007
·
Ayal Sharon
, Yifan Liu
·
SSRN Electronic Journal
·
3
According to Classical Logic, the Current Version of Quantum Mechanics is Inconsistent and 'Explosive'
2023
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Ayal Sharon
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SSRN Electronic Journal
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1
Examples of Inconsistencies in the Continuum Hypothesis
2026
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Ayal Sharon
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SSRN Electronic Journal
Logical Pluralism in the Foundations of Mathematics: Classical, Intuitionistic, and "Logic of Paradox"
2026
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Ayal Sharon
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SSRN Electronic Journal
Examples and Counterexamples of the Cardinality of the Continuum and the Continuum Hypothesis in Euclidean, Spherical, and Hyperbolic Geometries
2024
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Ayal Sharon
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SSRN Electronic Journal
Logical Paradox and Unsoundness in Quantum Physics
2022
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Ayal Sharon
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SSRN Electronic Journal
Contradictions in Quantum Physics, Deductive Explosion, and Paraconsistent Logics
2022
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Ayal Sharon
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SSRN Electronic Journal
Cantor’s "Cardinality of the Continuum" is False in Non-Euclidean Geometries
2021
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Ayal Sharon
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SSRN Electronic Journal
Quantum Electrodynamics (QED) Renormalization is a Logical Paradox, Zeta Function Regularization is Logically Invalid, and Both are Mathematically Invalid
2020
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Ayal Sharon
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SSRN Electronic Journal
The ‘Cardinality of the Continuum’ Is False in Non-Euclidean Geometries
2020
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Ayal Sharon
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SSRN Electronic Journal
If Riemann’s Zeta Function is True, it Contradicts Zeta’s Dirichlet Series, Causing "Explosion". If it is False, it Causes Unsoundness.
2019
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Ayal Sharon
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viXra
Analytic Continuation of the Zeta Function Violates the Law of Non-Contradiction (LNC)
2019
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Ayal Sharon
·
viXra
Propositional Logic Applied to Three Contradictory Definitions of the Zeta Function
2019
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Ayal Sharon
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SSRN Electronic Journal
According to the "Law of Non-Contradiction" (LNC) of Classical and Intuitionistic First-Order Logic, Riemann's Analytic Continuation of the Zeta Function $\zeta(s)$ is Not Valid
2018
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Ayal Sharon
In Half-Plane $\text{Re}(s)\le1$, Riemann's $\zeta(s)$ is Convergent and the Dirichlet Series of $\zeta(s)$ is Divergent, Violating the Law of Non-Contradiction
2018
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Ayal Sharon
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arXiv (Cornell University)
Riemann's Analytic Continuation of Zeta(s) Contradicts the Law of the Excluded Middle, and is Derived by Using Cauchy's Integral Theorem While Contradicting the Theorem's Prerequisites
2018
·
Ayal Sharon
·
viXra
Abel's Lemma and Dirichlet's Test Incorrectly Determine that a Trigonometric Version of the Dirichlet Series $\zeta(s)=\sum N^{-S}$ is Convergent Throughout the Critical Strip at $t\ne0$
2018
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Ayal Sharon
Appendices to Improving Patent Examination Efficiency and Quality
2007
·
Ayal Sharon
, Yifan Liu
·
SSRN Electronic Journal
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Works count:
19
Citation count:
7
H-index:
2
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