Linked from

The 12 pages that link to Legendre symbol, each with the reason it gives.

• Adrien-Marie LegendreBroader topic: This notation made his work on quadratic residues a lasting tool in number theory.

• Quadratic reciprocityBroader topic: It expresses the two residue tests that quadratic reciprocity compares.

• Disquisitiones ArithmeticaeRelated: This compact notation expresses the residue relationships behind quadratic reciprocity.

• Quadratic residueRelated: It encodes the outcome of the residue test as 1, −1, or 0.

• Dirichlet characterBroader topic: It is a familiar quadratic Dirichlet character modulo an odd prime.

• Euler's criterionRelated: The theorem identifies its value with a^((p−1)/2) modulo p.

• Jacobi symbolNarrower topic: Each prime factor contributes a Legendre symbol to the Jacobi symbol’s defining product.

• Solovay–Strassen primality testRelated: The Jacobi symbol used by the test extends this prime-modulus symbol to composite moduli.

• Sophie Germain primeBroader topic: It expresses the residue conditions used in arguments about paired primes.

• Cubic reciprocityCompared with: The Legendre symbol is the quadratic counterpart of the cubic residue symbol.

• Legendre's three-square theoremRelated: Legendre symbols help analyze representation questions through congruences and quadratic forms.

• Artin's conjecture on primitive rootsRelated: It expresses the quadratic-residue obstruction relevant to primitive roots.