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A note on Poincaré sums of Galois representations, III

A note on Poincaré sums of Galois representations, III

This is a continuation of our preceding papers [4], [5].In this paper, we shall notice a ormalism of Poincar sums P(K/k, Z) or any Galois extension (in characteristic zero) which is the analogue of Artin's ormalism of L-series in [1].Brauer's theorem on induced characters will describe P(K/k, Z) in terms …