|
|
|
AUTHOR(S): Yang I. Cao
|
|
TITLE |
 PDF |
|
ABSTRACT The research studies the Riemann Zeta Function (RZF) and the Riemann hypothesis (RH) with the Harmonic Series by Euler’s identity and category theory. I attempt to simplify the RZF by a metric space with geometric analysis. I further explore the nondiscrete mathematical relations of Euler’s identity and the basic trigonometric functions in the analytic geometric space, and some morphisms are constructed. The study demonstrated the viability of the three-dimensional coordinate construction with its topological relations to be further explored and justified. The current form of the solutions corroborates with the nontrivial zero solutions, and further tests on the RH will need a paradigm shift on the preliminary results. |
|
KEYWORDS non-algebraic numbers; morphism; injection; zero morphism; discrete and nondiscrete mathematics; unit sphere; powers and exponents; structuralism |
|
|
|
Cite this paper Yang I. Cao. (2025) Paradoxes or Contradictions? Exploring the Riemann-Zeta Function and Riemann Hypothesis by Euler’s Identity and Category Theory. International Journal of Applied Physics, 10, 52-58 |
|
|
