On large values of Weyl sums
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DOI: 10.1016/j.aim.2020.107216
Abstract: A special case of the Menshov--Rademacher theorem implies for almost all polynomials $x_1Z+\ldots +x_d Z^{d} \in {\mathbb R}[Z]$ of degree $d$ for the Weyl sums satisfy the upper bound $$ \left| \sum_{n=1}^{N}\exp\left(2\pi i \left(x_1 n+\ldots… read more here.
Keywords: weyl sums; large values; values weyl;