Reciprocity Laws
Subtitle: From Euler to Eisenstein (Springer Monographs in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: June 8, 2000
Language: eng
Format: Hardcover
Number of pages: 516
ISBN-13: 9783540669579
Subjects: Algebra; Algebraic number theory; Theory Of Numbers; Mathematics; Reference; Number Theory; Elliptic functions; Gaus and Jacobi sums; Mathematics / Number Theory; Reciprocity Laws; Strickelberg's Theorem; Zeta functions; Reciprocity theorems
First sentence: In this first chapter we will present the fathers of the quadratic reciprocity law.
Description: "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 Eisenstein's 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."--Jacket.