Author | Lemmermeyer, Franz. author |
---|---|
Title | Reciprocity Laws [electronic resource] : From Euler to Eisenstein / by Franz Lemmermeyer |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-3-662-12893-0 |
Descript | XX, 492 p. online resource |
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. Eisensteinโs Analytic Proofs -- 9. Octic Reciprocity -- 10. Gaussโs Last Entry -- 11. Eisenstein Reciprocity -- A. Dramatis Personae -- B. Chronology of Proofs -- C. Some Open Problems -- References -- Author Index