Fungrim entry: 532f31

\zeta\!\left(1, a\right) = {\tilde \infty}

Assumptions:

a \in \mathbb{C} \setminus \{0, -1, \ldots\}

TeX:

\zeta\!\left(1, a\right) = {\tilde \infty}

a \in \mathbb{C} \setminus \{0, -1, \ldots\}

Definitions:

Fungrim symbol	Notation	Short description
`HurwitzZeta`	$\zeta\!\left(s, a\right)$	Hurwitz zeta function
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`CC`	$\mathbb{C}$	Complex numbers
`ZZLessEqual`	$\mathbb{Z}_{\le n}$	Integers less than or equal to n

Source code for this entry:

Entry(ID("532f31"),
    Formula(Equal(HurwitzZeta(1, a), UnsignedInfinity)),
    Variables(a),
    Assumptions(Element(a, SetMinus(CC, ZZLessEqual(0)))))

Topics using this entry

Hurwitz zeta function

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC