Fungrim entry: ec2dd5

\left(s \in \{0, -1, \ldots\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{R}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{R}

TeX:

\left(s \in \{0, -1, \ldots\} \;\mathbin{\operatorname{and}}\; a \in \mathbb{R}\right) \;\implies\; \zeta\!\left(s, a\right) \in \mathbb{R}

Definitions:

Fungrim symbol	Notation	Short description
`ZZLessEqual`	$\mathbb{Z}_{\le n}$	Integers less than or equal to n
`RR`	$\mathbb{R}$	Real numbers
`HurwitzZeta`	$\zeta\!\left(s, a\right)$	Hurwitz zeta function

Source code for this entry:

Entry(ID("ec2dd5"),
    Formula(Implies(And(Element(s, ZZLessEqual(0)), Element(a, RR)), Element(HurwitzZeta(s, a), RR))),
    Variables(s, a))

Topics using this entry

2021-03-15 19:12:00.328586 UTC