Reciprocity Laws PDF Download

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Reciprocity Laws

Reciprocity Laws PDF Author: Franz Lemmermeyer
Publisher: Springer Science & Business Media
ISBN: 3662128934
Category : Mathematics
Languages : en
Pages : 503

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Book Description
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.