Bilinear Forms with Exponential Sums with Binomials

preprint2016arXivOpen access

Abstract

We obtain several estimates for bilinear form with exponential sums with binomials mxk+nxℓmx^k + nx^\ell. In particular we show the existence of nontrivial cancellations between such sums when the coefficients mm and nn vary over rather sparse sets of general nature

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