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Estimates for singular multiplicative character sums

Abstract

We give some estimates for multiplicative character sums on quasiprojective varieties over finite fields depending on the severity of the singularities of the variety at infinity. We also remove the hypothesis of non-divisibility by the characteristic of the base field in the known estimates for the non-singular case.Ministerio de Educación y CienciaFondo Europeo de Desarrollo Regiona

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