Reciprocity Laws From Euler to Eisenstein |
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| Author:
| Lemmermeyer, Franz |
| Series title: | Springer Monographs in Mathematics Ser. |
| ISBN: | 978-3-540-66957-9 |
| Publication Date: | Jan 2000 |
| Publisher: | Springer
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| Book Format: | Hardback |
| List Price: | AUD $204.95 |
Book Description:
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This book covers 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 Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested...
More DescriptionThis book covers 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 Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.