arXiv · 0905.1869
It is shown, subject to the abc-conjecture, that \[\sum_{n\le N}\exp(2πiαn^3)\ll_{ε,α}N^{5/7+ε}\] for any $ε>0$ and any quadratic irrational $α$.
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D. R. Heath-Brown. 2009-05-12. Bounds for the Cubic Weyl Sum. https://arxiv.org/abs/0905.1869
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