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Fungrim entry: 60c2ec

ρn=ρn\rho_{-n} = \overline{\rho_{n}}
Assumptions:nZ  and  n0n \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; n \ne 0
TeX:
\rho_{-n} = \overline{\rho_{n}}

n \in \mathbb{Z} \;\mathbin{\operatorname{and}}\; n \ne 0
Definitions:
Fungrim symbol Notation Short description
RiemannZetaZeroρn\rho_{n} Nontrivial zero of the Riemann zeta function
Conjugatez\overline{z} Complex conjugate
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("60c2ec"),
    Formula(Equal(RiemannZetaZero(Neg(n)), Conjugate(RiemannZetaZero(n)))),
    Variables(n),
    Assumptions(And(Element(n, ZZ), NotEqual(n, 0))))

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2020-04-08 16:14:44.404316 UTC