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The Lindemann–Weierstrass Theorem

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Abstract

Para>In 1882, Lindemann wrote a paper in which he sketched a general result, special cases of which imply the transcendence of e and π. This general result was later proved rigorously by K. Weierstrass in 1885. Before we begin, we make some remarks pertaining to algebraic number theory. Let K be an algebraic number field.

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© 2014 Springer Science+Business Media New York

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Murty, M.R., Rath, P. (2014). The Lindemann–Weierstrass Theorem. In: Transcendental Numbers. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0832-5_4

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