Universal quadratic form
= Universal quadratic form
{wiki=Universal_quadratic_form}
A universal quadratic form is a specific type of quadratic form that has the property of representing all possible integers through its integer values. In other words, a quadratic form is called "universal" if it can represent every integer as a value of the form \\( ax^2 + bxy + cy^2 \\) (for integer coefficients \\(a\\), \\(b\\), and \\(c\\)) for appropriate integer inputs \\(x\\) and \\(y\\).