# algebraic independence

## Schanuel's Conjecture ★★★★

Author(s): Schanuel

**Conjecture**Given any complex numbers which are linearly independent over the rational numbers , then the extension field has transcendence degree of at least over .

Keywords: algebraic independence

## Algebraic independence of pi and e ★★★

Author(s):

**Conjecture**and are algebraically independent

Keywords: algebraic independence