
Li's Exponential Theorem
Li's Exponential Theorem is a result in number theory that relates how often prime numbers appear to the properties of certain mathematical functions called the Riemann zeta function. It states that the distribution of prime factors in natural numbers can be predicted using the zeros of this zeta function. Essentially, the theorem links the pattern of prime exponents (the powers in prime factorization) to deep properties of complex functions, providing insights into the fundamental structure of numbers. It’s a key piece in understanding how prime factors are distributed among natural numbers.