Abstract
We give non-trivial unitary representations of the character groups of a finite field Fq. With the representation properties we deduce some results on character sums, and with the unitarity we obtain non-trivial estimates for the incomplete sums \(\sum_{\nu =1}^k\ G(\chi_i\chi _\nu^{- 1},\psi);1\leq k <q\).
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Winterhof, A. Representations of the Character Groups of Fq . Results. Math. 33, 169–177 (1998). https://doi.org/10.1007/BF03322081
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DOI: https://doi.org/10.1007/BF03322081