Fungrim home page

Fungrim entry: edad97

ζ ⁣(3,56)=91ζ ⁣(3)23π3\zeta\!\left(3, \frac{5}{6}\right) = 91 \zeta\!\left(3\right) - 2 \sqrt{3} {\pi}^{3}
TeX:
\zeta\!\left(3, \frac{5}{6}\right) = 91 \zeta\!\left(3\right) - 2 \sqrt{3} {\pi}^{3}
Definitions:
Fungrim symbol Notation Short description
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) Riemann zeta function
Sqrtz\sqrt{z} Principal square root
Powab{a}^{b} Power
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("edad97"),
    Formula(Equal(HurwitzZeta(3, Div(5, 6)), Sub(Mul(91, RiemannZeta(3)), Mul(Mul(2, Sqrt(3)), Pow(Pi, 3))))))

Topics using this entry

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