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Fungrim entry: c6d6e2

ζ ⁣(s,32)=(2s−1)ζ ⁣(s)−2s\zeta\!\left(s, \frac{3}{2}\right) = \left({2}^{s} - 1\right) \zeta\!\left(s\right) - {2}^{s}
Assumptions:s∈Cs \in \mathbb{C}
TeX:
\zeta\!\left(s, \frac{3}{2}\right) = \left({2}^{s} - 1\right) \zeta\!\left(s\right) - {2}^{s}

s \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
HurwitzZetaζ ⁣(s,a)\zeta\!\left(s, a\right) Hurwitz zeta function
Powab{a}^{b} Power
RiemannZetaζ ⁣(s)\zeta\!\left(s\right) Riemann zeta function
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("c6d6e2"),
    Formula(Equal(HurwitzZeta(s, Div(3, 2)), Sub(Mul(Sub(Pow(2, s), 1), RiemannZeta(s)), Pow(2, s)))),
    Variables(s),
    Assumptions(Element(s, CC)))

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2021-03-15 19:12:00.328586 UTC