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On Algebraic Methods for the Riemann Hypothesis
Department of Engineering, Enertron Inc., Hohenwald, TN, USA
- 1 Department of Engineering, Enertron Inc., Hohenwald, TN, USA
Advances in Pure Mathematics·Volume 15 (2025)·Pages 1–35·Published 14 January 2025·DOI10.4236/apm.2025.151001
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Abstract
Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the Gamma function, the Bernoulli function, and limitations imposed by the rational relations of the complex roots of the Riemann zeta function, and the rational relations of the complex Gamma functions.
KeywordsGamma FunctionZeta FunctionBernoulli NumbersRobin InequalityTwin PrimesPrimes
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