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Reciprocity Laws: From Euler to Eisenstein de Franz Lemmermeyer

Reciprocity Laws: From Euler to Eisenstein: Springer Monographs in Mathematics

Autor Franz Lemmermeyer
en Limba Engleză Hardback – 6 mai 2000

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  Springer Berlin, Heidelberg – 6 mai 2000 88731 lei  6-8 săpt.

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Specificații

ISBN-13: 9783540669579
ISBN-10: 3540669574
Pagini: 514
Ilustrații: XX, 492 p.
Dimensiuni: 155 x 235 x 33 mm
Greutate: 0.78 kg
Ediția:2000
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Monographs in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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 Eisensteins 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.