Schanuel, Stephen

Schanuel's Conjecture ★★★★

Conjecture Given any $n$ complex numbers $z_1,...,z_n$ which are linearly independent over the rational numbers $\mathbb{Q}$ , then the extension field $\mathbb{Q}(z_1,...,z_n,\exp(z_1),...,\exp(z_n))$ has transcendence degree of at least $n$ over $\mathbb{Q}$ .

Keywords: algebraic independence

Posted by Charles
updated January 19th, 2010

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Schanuel, Stephen

Schanuel's Conjecture ★★★★

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