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Distribution of polynomial discriminants modulo a prime

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Abstract

We obtain bounds of sums of additive characters with discriminants of polynomials over finite fields. We use these bounds to study the distribution of discriminants modulo a prime p.

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  1. Department of Pure Mathematics, University of New South Wales, Sydney, NSW, 2052, Australia

    Igor E. Shparlinski

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  1. Igor E. Shparlinski
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Correspondence to Igor E. Shparlinski.

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Shparlinski, I.E. Distribution of polynomial discriminants modulo a prime. Arch. Math. 105, 251–259 (2015). https://doi.org/10.1007/s00013-015-0806-x

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  • DOI: https://doi.org/10.1007/s00013-015-0806-x

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