Reciprocity Laws: from Euler to Eisenstein/
Franz Lemmermeyer
- Berlin: Springer, c2000.
- xix, 487 p. ; 24 cm.
- (Springer monographs in mathematics) .
1. The Genesis of Quadratic Reciprocity -- 2. Quadratic Number Fields -- 3. Cyclotomic Number Fields -- 4. Power Residues and Gauss Sums -- 5. Rational Reciprocity Laws -- 6. Quartic Reciprocity -- 7. Cubic Reciprocity -- 8. Eisenstein's Analytic Proofs -- 9. Octic Reciprocity -- 10. Gauss's Last Entry -- 11. Eisenstein Reciprocity.
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Reciprocity theorems Number theory Algebraic number theory Mathematics