The Lindemann–Weierstrass theorem is a fundamental result in transcendental number theory that establishes the transcendence of certain numbers, specifically stating that if α1, α2, ..., αn are algebraic numbers that are linearly independent over the rationals, then e raised to any of these numbers is transcendental. This theorem has profound implications in proving the transcendence of numbers like π and e, and it plays a crucial role in understanding the algebraic independence of exponential functions of algebraic numbers.