Cart
Free Shipping in Australia
Proud to be B-Corp

Reciprocity Laws Franz Lemmermeyer

Reciprocity Laws By Franz Lemmermeyer

Reciprocity Laws by Franz Lemmermeyer


$261.69
Condition - New
Only 2 left

Summary

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.

Reciprocity Laws Summary

Reciprocity Laws: From Euler to Eisenstein by Franz Lemmermeyer

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.

Table of Contents

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.

Additional information

NLS9783642086281
9783642086281
3642086284
Reciprocity Laws: From Euler to Eisenstein by Franz Lemmermeyer
New
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2010-12-03
492
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - Reciprocity Laws