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Published in:
2000 | OriginalPaper | Chapter
Power Residues and Gauss Sums
Author : Franz Lemmermeyer
Published in: Reciprocity Laws
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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This chapter is devoted to some technical preliminaries. We start with some general remarks on power residue symbols, discuss a connection between the splitting of primes in a number field K and its discriminant, review Kummer theory and characters of abelian groups, and finally introduce and study character sums, namely those of Gauss, Jacobi and Eisenstein.