Gauss Sums and p-adic Division Algebras (Lecture Notes in Mathematics 987) (1983. XI, 187 S.)

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Arithmetic of local division algebras.- to Gauss Sums.- Functional equation.- One-dimensional representations.- The basic correspondence.- The basic inductive step.- The general inductive process.- Representations of certain group extensions.- Trace computations.- Induction constants for Galois Gauss sums.- Synthesis of results.- modified correspondences.

XIV, 190 p.

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