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Estimates on polynomial exponential sums

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Abstract

In this paper we establish new bounds on exponential sums of high degree for general composite moduli. The sums considered are either Gauss sums or ‘sparse’ and we rely on earlier work in the case of prime modulus.

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  1. School of Mathematics, Institute for Advanced Study, Olden Lane, Princeton, NJ, 08540, USA

    J. Bourgain

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  1. J. Bourgain
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Bourgain, J. Estimates on polynomial exponential sums. Isr. J. Math. 176, 221–240 (2010). https://doi.org/10.1007/s11856-010-0027-8

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  • DOI: https://doi.org/10.1007/s11856-010-0027-8

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