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
`Zeros`	$\mathop{\operatorname{zeros}\,}\limits_{x \in S} f(x)$	Zeros (roots) of function
`RiemannZeta`	$\zeta\!\left(s\right)$	Riemann zeta function
`RR`	$\mathbb{R}$	Real numbers
`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), ForElement(s, RR)), Set(Neg(Mul(2, n)), ForElement(n, ZZGreaterEqual(1))))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC