Transcendental Values of Elliptic Functions

M. Ram Murty and Purusottam Rath
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

Chapter Chapter 11 in Transcendental Numbers, 2014, pp 49-53 from Springer

Abstract: Abstract The observation that points on a certain elliptic curve can be parametrised by the values of the ℘ $$\wp $$ -function and its derivative allows us to deduce an important addition theorem for the ℘ $$\wp $$ -function. Weierstrass ℘ $$\wp $$ -function Using Lemma 10.4, we will prove the following addition formula for the ℘ $$\wp $$ -function.

Keywords: Transcendent Values; Elliptic Curve; Addition Formula; Elliptic Analogue; Higher Dimensional Generalization (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-0832-5_11

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