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.

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Bibliographic Information

Book Title: Reciprocity Laws
Book Subtitle: From Euler to Eisenstein
Authors: Franz Lemmermeyer
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-662-12893-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2000
Hardcover ISBN: 978-3-540-66957-9Published: 06 May 2000
Softcover ISBN: 978-3-642-08628-1Published: 03 December 2010
eBook ISBN: 978-3-662-12893-0Published: 14 March 2013
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XX, 492
Topics: Algebra, Number Theory

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Table of contents (11 chapters)

Front Matter

Back Matter

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