scientific article; zbMATH DE number 1452559
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Publication:4956108
zbMath0949.11002MaRDI QIDQ4956108
Publication date: 25 May 2000
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binary quadratic formsquadratic fieldscyclotomic fieldspower residuesalgebraic geometryhistorical developmentcubic reciprocitygenus theoryclass field theoryalgebraic number theoryHilbert symbolsquartic reciprocitycomplex function theoryrational reciprocity lawsbiquadratic reciprocitynormal integral basesoctic reciprocityEisenstein reciprocityEisenstein's analytical proofsGauß-lemma for quadratic residueslast entry of Gauß's famous diaryLucas-Lehmer primality test for Mersenne numbersreciprocity laws in number theorysecond \(K\)-groupsymbols in number fields
History of number theory (11-03) Class field theory (11R37) Cyclotomic extensions (11R18) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Power residues, reciprocity (11A15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to history and biography (01-01)
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