TY - BOOK AU - Lemmermeyer, Franz TI - Reciprocity Laws: from Euler to Eisenstein SN - 3540669574 U1 - 512.74 PY - 2000/// CY - Berlin PB - Springer KW - Reciprocity theorems KW - Number theory KW - Algebraic number theory KW - Mathematics N1 - 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 ER -