TeX:
\left(\operatorname{RH}\right) \iff \left(\operatorname{Re}\!\left(\rho_{n}\right) = \frac{1}{2} \;\text{ for all } n \in \mathbb{Z}_{\ge 1}\right)Definitions:
| Fungrim symbol | Notation | Short description |
|---|---|---|
| RiemannHypothesis | Riemann hypothesis | |
| Re | Real part | |
| RiemannZetaZero | Nontrivial zero of the Riemann zeta function | |
| ZZGreaterEqual | Integers greater than or equal to n |
Source code for this entry:
Entry(ID("49704a"),
Formula(Equivalent(RiemannHypothesis, All(Equal(Re(RiemannZetaZero(n)), Div(1, 2)), ForElement(n, ZZGreaterEqual(1))))))