Natalia Budarina
Abstract
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The primitive representations of binary positive definite, classically integral quadratic forms over the local rings $\mathbb Z_p$ are studied. For the global ring, an efficient method is obtained for determining when a quadratic form is primitively 2-universal.
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The primitive representations of binary positive definite, classically integral quadratic forms over the local rings $\mathbb Z_p$ are studied. For the global ring, an efficient method is obtained for determining when a quadratic form is primitively 2-universal.
Key concepts: Mathematics, Definite quadratic form, Binary quadratic form, Isotropic quadratic form, Quadratic equation, ε-quadratic form, Pure mathematics, Quadratic field