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- Reciprocity_law abstract "In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity.There are several different ways to express reciprocity laws. The early reciprocity laws found in the 19th century were usually expressed in terms of a power residue symbol (p/q) generalizing the quadratic reciprocity symbol, that describes when a prime number is an nth power residue modulo another prime, and gave a relation between (p/q) and (q/p). Hilbert reformulated the reciprocity laws as saying that a product over p of Hilbert norm residue symbols (a,b/p), taking values in roots of unity, is equal to 1. Artin reformulated the reciprocity laws as a statement that the Artin symbol from ideals (or ideles) to elements of a Galois group is trivial on a certain subgroup. Several more recent generalizations express reciprocity laws using cohomology of groups or representations of adelic groups or algebraic K-groups, and their relationship with the original quadratic reciprocity law can be hard to see.".
- Reciprocity_law wikiPageExternalLink books?id=rtvuAAAAMAAJ.
- Reciprocity_law wikiPageExternalLink cont2.html.
- Reciprocity_law wikiPageExternalLink books?id=EwjpPeK6GpEC.
- Reciprocity_law wikiPageExternalLink books?id=_Q2h83Bm94cC.
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- Reciprocity_law wikiPageID "247622".
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- Reciprocity_law wikiPageRevisionID "701833997".
- Reciprocity_law wikiPageWikiLink Adelic_algebraic_group.
- Reciprocity_law wikiPageWikiLink Artin_reciprocity_law.
- Reciprocity_law wikiPageWikiLink Category:Algebraic_number_theory.
- Reciprocity_law wikiPageWikiLink Commutator_subgroup.
- Reciprocity_law wikiPageWikiLink David_Hilbert.
- Reciprocity_law wikiPageWikiLink Emil_Artin.
- Reciprocity_law wikiPageWikiLink Galois_group.
- Reciprocity_law wikiPageWikiLink Gaussian_integer.
- Reciprocity_law wikiPageWikiLink Hilberts_ninth_problem.
- Reciprocity_law wikiPageWikiLink Langlands_program.
- Reciprocity_law wikiPageWikiLink Legendre_symbol.
- Reciprocity_law wikiPageWikiLink Modular_arithmetic.
- Reciprocity_law wikiPageWikiLink Power_residue_symbol.
- Reciprocity_law wikiPageWikiLink Prime_number.
- Reciprocity_law wikiPageWikiLink Quadratic_reciprocity.
- Reciprocity_law wikiPageWikiLink Regular_prime.
- Reciprocity_law wikiPageWikiLink Springer_Science+Business_Media.
- Reciprocity_law wikiPageWikiLink Stanleys_reciprocity_theorem.
- Reciprocity_law wikiPageWikiLink Symbol_(number_theory).
- Reciprocity_law wikiPageWikiLinkText "Reciprocity law".
- Reciprocity_law wikiPageWikiLinkText "reciprocity law".
- Reciprocity_law first "S. A.".
- Reciprocity_law id "r/r080090".
- Reciprocity_law last "Stepanov".
- Reciprocity_law title "Reciprocity laws".
- Reciprocity_law wikiPageUsesTemplate Template:Citation.
- Reciprocity_law wikiPageUsesTemplate Template:Eom.
- Reciprocity_law wikiPageUsesTemplate Template:For.
- Reciprocity_law wikiPageUsesTemplate Template:Main.
- Reciprocity_law wikiPageUsesTemplate Template:More_footnotes.
- Reciprocity_law wikiPageUsesTemplate Template:Reflist.
- Reciprocity_law subject Category:Algebraic_number_theory.
- Reciprocity_law hypernym Generalization.
- Reciprocity_law comment "In mathematics, a reciprocity law is a generalization of the law of quadratic reciprocity.There are several different ways to express reciprocity laws. The early reciprocity laws found in the 19th century were usually expressed in terms of a power residue symbol (p/q) generalizing the quadratic reciprocity symbol, that describes when a prime number is an nth power residue modulo another prime, and gave a relation between (p/q) and (q/p).".
- Reciprocity_law label "Reciprocity law".
- Reciprocity_law sameAs Q7302492.
- Reciprocity_law sameAs m.0119b_y3.
- Reciprocity_law sameAs Q7302492.
- Reciprocity_law wasDerivedFrom Reciprocity_law?oldid=701833997.
- Reciprocity_law isPrimaryTopicOf Reciprocity_law.