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Fungrim entry: 1da705

zeros⁡ z∈Cσ ⁣(z,τ)=Λ(1,τ)\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \sigma\!\left(z, \tau\right) = \Lambda_{(1, \tau)}
Assumptions:τ∈H\tau \in \mathbb{H}
TeX:
\mathop{\operatorname{zeros}\,}\limits_{z \in \mathbb{C}} \sigma\!\left(z, \tau\right) = \Lambda_{(1, \tau)}

\tau \in \mathbb{H}
Definitions:
Fungrim symbol Notation Short description
WeierstrassSigmaσ ⁣(z,τ)\sigma\!\left(z, \tau\right) Weierstrass sigma function
CCC\mathbb{C} Complex numbers
LatticeΛ(a,b)\Lambda_{(a, b)} Complex lattice with periods a, b
HHH\mathbb{H} Upper complex half-plane
Source code for this entry:
Entry(ID("1da705"),
    Formula(Equal(Zeros(WeierstrassSigma(z, tau), z, Element(z, CC)), Lattice(1, tau))),
    Variables(tau),
    Assumptions(Element(tau, HH)))

Topics using this entry

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

2019-06-18 07:49:59.356594 UTC