Lépine's Theorem is a result in the field of mathematics, specifically in the area of number theory. It states that if a prime number can be expressed as the sum of two squares, then it can also be expressed as the sum of two squares in multiple ways. This theorem highlights the relationship between prime numbers and their representations, providing insight into the structure of integers. The theorem is named after the mathematician Alfred Lépine, who contributed to the understanding of quadratic forms and their properties. Lépine's work has implications in various mathematical disciplines, including algebra and combinatorics, and it continues to be a topic of interest for researchers studying number representations.