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. Using Lemma 10.4, we will prove the following addition formula for the \(\wp \)-function.
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Murty, M.R., Rath, P. (2014). Transcendental Values of Elliptic Functions. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_11
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DOI: https://doi.org/10.1007/978-1-4939-0832-5_11
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-0831-8
Online ISBN: 978-1-4939-0832-5
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