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- catalog abstract ""This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisenstein's reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area."--Jacket.".
- catalog contributor b11731860.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description ""This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisenstein's reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area."--Jacket.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "xix, 487 p. ;".
- catalog identifier "3540669574 (hc : alk. paper)".
- catalog isPartOf "Springer monographs in mathematics".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "512/.74 21".
- catalog subject "QA241 .L56 2000".
- catalog subject "Reciprocity theorems.".
- catalog tableOfContents "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.".
- catalog title "Reciprocity laws : from Euler to Eisenstein / Franz Lemmermeyer.".
- catalog type "text".