Reciprocity (mathematics)

In mathematics, reciprocity is applied to a number of theorems, and at times certain relationships. The most celebrated of these is quadratic reciprocity, a fundamental result in number theory. It has many generalisations, including

cubic reciprocity
biquadratic reciprocity
higher reciprocity laws
Artin reciprocity
Weil reciprocity for algebraic curves.

There are also some unrelated terms, such as

Frobenius reciprocity
Hermite's reciprocity law in invariant theory
Stanley's reciprocity theorem.

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Reciprocity (mathematics)

See also: Reciprocity (mathematics), Frobenius reciprocity, Invariant theory, Mathematics, Number theory, Quadratic reciprocity, Stanley's reciprocity theorem, Theorem, Weil reciprocity for algebraic curves