Abstract
An asymptotic formula is obtained for the number of rational points of bounded height on the class of varieties described in the title line. The formula is proved via the Hardy–Littlewood method, and along the way we establish two new results on Weyl sums that are of some independent interest.
Citation
Jörg Brüdern. Olivier Robert. "Rational points on linear slices of diagonal hypersurfaces." Nagoya Math. J. 218 51 - 100, June 2015. https://doi.org/10.1215/00277630-2891245
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