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Lindemann–Weierstrass Theorem

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Abstract

We discuss issues of algebraic independence for values of the function \(e^{z}\) at algebraic points. The most general result of this kind was established at the end of the 19th century and is called the Lindemann–Weierstrass theorem. This is historically the first theorem on the algebraic independence of numbers and it can be proved now in various ways. Below we propose one more way to prove it.

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  1. Chair of Number Theory, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    Yu. V. Nesterenko

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  1. Yu. V. Nesterenko
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Correspondence to Yu. V. Nesterenko.

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Translated by E. Oborin

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Nesterenko, Y.V. Lindemann–Weierstrass Theorem. Moscow Univ. Math. Bull. 76, 239–243 (2021). https://doi.org/10.3103/S0027132221060073

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  • DOI: https://doi.org/10.3103/S0027132221060073

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