Gauss's lemma can mean any of several mathematical lemmas named after Carl Friedrich Gauss: * Gauss's lemma (polynomials), the greatest common divisor of the coefficients is a multiplicative function *

Gauss's lemma (number theory) Gauss's lemma in number theory gives a condition for an integer to be a quadratic residue. Although it is not useful computationally, it has theoretical significance, being involved in some proofs of quadratic reciprocity. It made its first app ...

, condition under which an integer is a quadratic residue *

Gauss's lemma (Riemannian geometry) In Riemannian geometry, Gauss's lemma asserts that any sufficiently small sphere centered at a point in a Riemannian manifold is perpendicular to every geodesic through the point. More formally, let ''M'' be a Riemannian manifold, equipped wi ...

, theorem in manifold theory * A generalization of

Euclid's lemma In algebra and number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: For example, if , , , then , and since this is divisible by 19, the lemma implies that one or both of 133 or 143 must be as w ...

is sometimes called Gauss's lemma

See also