Fungrim entry: 2e1ff3

\mathop{\operatorname{zeros}\,}\limits_{s \in \mathbb{R}} \zeta\!\left(s\right) = \left\{ -2 n : n \in \mathbb{Z}_{\ge 1} \right\}

TeX:

\mathop{\operatorname{zeros}\,}\limits_{s \in \mathbb{R}} \zeta\!\left(s\right) = \left\{ -2 n : n \in \mathbb{Z}_{\ge 1} \right\}

Definitions:

Fungrim symbol	Notation	Short description
`RiemannZeta`	$\zeta\!\left(s\right)$	Riemann zeta function
`RR`	$\mathbb{R}$	Real numbers
`SetBuilder`	$\left\{ f\!\left(x\right) : P\!\left(x\right) \right\}$	Set comprehension
`ZZGreaterEqual`	$\mathbb{Z}_{\ge n}$	Integers greater than or equal to n

Source code for this entry:

Entry(ID("2e1ff3"),
    Formula(Equal(Zeros(RiemannZeta(s), s, Element(s, RR)), SetBuilder(Neg(Mul(2, n)), n, Element(n, ZZGreaterEqual(1))))))

Topics using this entry

2019-06-18 07:49:59.356594 UTC