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Reciprocity Laws: From Euler to Eisenstein
Author(s): Franz Lemmermeyer (Author)
- Publisher: Springer
- Publication Date: 15 Jan. 2014
- Language: English
- Print length: 512 pages
- ISBN-10: 3662128942
- ISBN-13: 9783662128947
Book 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.- A. Dramatis Personae.- B. Chronology of Proofs.- C. Some Open Problems.- References.- Author Index.
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