On character sums and power residues

Norton, Karl K.

doi:10.1090/S0002-9947-1972-0296034-8

On character sums and power residues
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by Karl K. Norton PDF

Trans. Amer. Math. Soc. 167 (1972), 203-226 Request permission

Erratum: Trans. Amer. Math. Soc. 174 (1972), 507.

Abstract:

Sharp estimates are given for a double sum involving Dirichlet characters. These are applied to the problem of estimating certain sums whose values give a measure of the average distance between successive power residues to an arbitrary modulus. A particularly good result of the latter type is obtained when the modulus is prime.

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