The Lindemann–Weierstrass Theorem

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 4 in Transcendental Numbers, 2014, pp 15-18 from Springer

Abstract: 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 Weierstrass, K. in 1885. Before we begin, we make some remarks pertaining to algebraic number theory. Let K be an algebraic number field.

Keywords: Lindemann-Weierstrass Theorem; Algebraic Number; Schanuel; Hermite's Theorem; Central Conjecture (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-0832-5_4

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