Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics)
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Author
Publication
2010-12-02 - Springer
Word Count
123,000 words, Guess
Page Count
492 pages
Identifiers
- Open LibraryOL26743614M
- ISBN-139783642086281
- ISBN-103642086284
Classifications
- LCCQA150-272
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 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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