norm residue symbol

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• Artin reciprocity law — The Artin reciprocity law, established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms a central part of the global class field theory.[1] The term reciprocity law refers to a long line of… …   Wikipedia

• Trigonometry in Galois fields — In mathematics, the theory of quadratic extensions of finite fields supports analogies with trigonometry.The main motivation to deal with a finite field trigonometry is the power of the discrete transforms, which play an important role in… …   Wikipedia