Reciprocity Laws
From Euler to Eisenstein
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Beschreibung
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.
Autor*in
Franz Lemmermeyer
Themen in »Reciprocity Laws«
Elliptic functions Gaus and Jacobi sums Reciprocity Laws Strickelberg's Theorem Zeta functions number theory