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scientific article; zbMATH DE number 1452559
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scientific article; zbMATH DE number 1452559

    Statements

    25 May 2000
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    class field theory
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    reciprocity laws in number theory
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    historical development
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    algebraic number theory
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    algebraic geometry
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    complex function theory
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    binary quadratic forms
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    quadratic fields
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    genus theory
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    Lucas-Lehmer primality test for Mersenne numbers
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    Hilbert symbols
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    second \(K\)-group
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    cyclotomic fields
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    normal integral bases
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    symbols in number fields
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    Gauß-lemma for quadratic residues
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    power residues
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    rational reciprocity laws
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    quartic reciprocity
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    cubic reciprocity
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    Eisenstein's analytical proofs
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    octic reciprocity
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    last entry of Gauß's famous diary
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    biquadratic reciprocity
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    Eisenstein reciprocity
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    Identifiers

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