Lindemann-Weierstrass Theorem (original) (raw)

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• Number Theory
• Transcendental Numbers
• Number Theory
• Irrational Numbers

If algebraic integers , ..., are linearly independent over , then , ..., are algebraically independent over . The Lindemann-Weierstrass theorem is implied by Schanuel's conjecture (Chow 1999).

See also

Algebraically Independent, Hermite-Lindemann Theorem, Schanuel's Conjecture

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References

Baker, A. Theorem 2.1 in Transcendental Number Theory. Cambridge, England: Cambridge University Press, 1990.Chow, T. Y. "What is a Closed-Form Number?" Amer. Math. Monthly 106, 440-448, 1999.

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Lindemann-Weierstrass Theorem

Cite this as:

Weisstein, Eric W. "Lindemann-Weierstrass Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Lindemann-WeierstrassTheorem.html

Subject classifications

• Number Theory
• Transcendental Numbers
• Number Theory
• Irrational Numbers