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Fungrim entry: 72eb69

ζ ⁣(−z,τ)=−ζ ⁣(z,τ)\zeta\!\left(-z, \tau\right) = -\zeta\!\left(z, \tau\right)
Assumptions:z∈C  and⁡  τ∈H  and⁡  z∉Λ(1,τ)z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \tau \in \mathbb{H} \;\mathbin{\operatorname{and}}\; z \notin \Lambda_{(1, \tau)}
TeX:
\zeta\!\left(-z, \tau\right) = -\zeta\!\left(z, \tau\right)

z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; \tau \in \mathbb{H} \;\mathbin{\operatorname{and}}\; z \notin \Lambda_{(1, \tau)}
Definitions:
Fungrim symbol Notation Short description
WeierstrassZetaζ ⁣(z,τ)\zeta\!\left(z, \tau\right) Weierstrass zeta function
CCC\mathbb{C} Complex numbers
HHH\mathbb{H} Upper complex half-plane
LatticeΛ(a,b)\Lambda_{(a, b)} Complex lattice with periods a, b
Source code for this entry:
Entry(ID("72eb69"),
    Formula(Equal(WeierstrassZeta(Neg(z), tau), Neg(WeierstrassZeta(z, tau)))),
    Variables(z, tau),
    Assumptions(And(Element(z, CC), Element(tau, HH), NotElement(z, Lattice(1, tau)))))

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2021-03-15 19:12:00.328586 UTC