Franz Lemmermeyer
Springer
e druk, 2000
9783540669579
Reciprocity Laws
From Euler to Eisenstein
Specificaties
Gebonden, 492 blz.
|
Engels
Springer |
e druk, 2000
ISBN13: 9783540669579
Rubricering
Onderdeel van serie
Springer Monographs in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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 in the history of reciprocity laws or in the current research in this area.
Specificaties
ISBN13:9783540669579
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:492
Uitgever:Springer
Verschijningsdatum:6-5-2000
Hoofdrubriek:Wetenschap en techniek
Inhoudsopgave
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.
