Chebotarev Density Theorem
The Chebotarev Density Theorem is a fundamental result in number theory that describes the distribution of prime ideals in a number field. It states that for any given conjugacy class of the Galois group of a number field, the density of prime ideals lying over that class can be determined. This theorem connects the properties of algebraic number fields with the behavior of prime numbers.
In simpler terms, the theorem provides a way to understand how often certain types of prime numbers appear when looking at the larger structure of number fields. It is a powerful tool for studying the relationships between Galois theory and algebraic number theory.