An Alternative perspective to Riemann Hypothesis
Jamal Salah
Abstract
We review some main results of Riemann Zeta function; the Integral representation the analytic continuity and the first functional equation by the means of Gamma function and Hankel contour. We observe that an additional term is considered in both results. We justify the non-trivial location of Zeta non-trivial zeros subject to an approximation.
Topics & Concepts
Riemann hypothesisRiemann zeta functionPerspective (graphical)MathematicsRepresentation (politics)Term (time)Riemann Xi functionMethods of contour integrationFunction (biology)Pure mathematicsMathematical analysisCalculus (dental)Applied mathematicsPhysicsGeometryMedicineEvolutionary biologyLawPoliticsBiologyPolitical scienceDentistryQuantum mechanicsAnalytic Number Theory ResearchFunctional Equations Stability ResultsMathematical functions and polynomials