Triple

Target class: result in quadratic reciprocity
Context triple: [second supplementary law, instanceOf, result in quadratic reciprocity]

• A. quadratic character
  A quadratic character is a group homomorphism from a multiplicative group (often of a field or modulo n) to {±1} that indicates whether elements are quadratic residues or non-residues.
• B. multiplicative character modulo p
  A multiplicative character modulo p is a homomorphism from the multiplicative group of nonzero residues modulo a prime p to the complex numbers of absolute value 1, extended by defining its value at 0 (often as 0).
• C. result in Diophantine approximation
  A result in Diophantine approximation is a theorem or bound that quantifies how closely real numbers can be approximated by rationals (or algebraic numbers) in terms of the size of their denominators or heights.
• D. quadratic form
  A quadratic form is a homogeneous polynomial of degree two in several variables, typically expressed as xᵀAx for a symmetric matrix A, that defines a scalar-valued function capturing curvature and geometric properties such as lengths, angles, and conic sections.
• E. result in arithmetic geometry
  A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
• F. None of above. chosen