Bounds for the Cubic Weyl Sum

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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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Number Theory, 11L15

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http://salesiana.dossiersoluciones.com/handle/123456789/230106

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.1869
 http://arxiv.org/abs/0905.1869

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arXiv