Kronecker symbol

The Kronecker symbol, denoted as \(\left(\frac{a}{n}\right)\), is a generalization of the Legendre symbol used in number theory. It is defined for any integer \(a\) and any positive integer \(n\) that can be expressed as a product of prime powers. The Kronecker symbol extends the properties of the Legendre symbol to include not just odd prime moduli, but also powers of 2 and arbitrary positive integers.