Abstract
Let ω1, ω2 ∈ ℂ such that τ:= ω2/ω1 ∉ ℝ∪{∞}; we can number ω1 and ω2 such that Im (τ) > 0. Then L = ℤ•ω2 + ℤ•ω1 is a lattice in ℂ; put L’ = L\{0}. For z ∈ ℂ,
defines a meromorphic function with poles of order two at all lattice points. This function is called the Weierstraß p-function.
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© 1992 Springer Fachmedien Wiesbaden
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Hirzebruch, F., Berger, T., Jung, R. (1992). Elliptic genera. In: Manifolds and Modular Forms. Aspects of Mathematics, vol E 20. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14045-0_2
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DOI: https://doi.org/10.1007/978-3-663-14045-0_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-06414-3
Online ISBN: 978-3-663-14045-0
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