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Reciprocity Laws: From Euler to Eisenstein

Reciprocity Laws: From Euler to Eisenstein

Paperback

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 3642086284
ISBN13: 9783642086281
Publisher: Springer Nature
Published: Dec 3 2010
Pages: 492
Weight: 1.56
Height: 1.03 Width: 6.14 Depth: 9.21
Language: English
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.

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