Riemann Hypothesis

Greek Letters
The definition of functions

Negative Domain
1. Polynomial expansion
2. Negative gamma function relation
3. Expansion of negative gamma function relation
4. Series of trigonometric and hyperbolic functions
5. Gamma function relation of subordinate zeta function
6. Coefficient of the subordinate zeta function

Positive Domain
1. Sine and cosine infinite series
2. Integral of sine and cosine infinite series
3. Sum of sine and cosine infinite series
4. L-function and subordinate zeta functions
5. Integral constant of sine and cosine infinite series
6. Proof of transcendental number

Analytic Continuation
1. Complex analysis
2. Functional equations
3. Riemann hypothesis

Appendix A. Gamma function formulas
Appendix B. Cotangent series and zeta function