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June 2015 Rational points on linear slices of diagonal hypersurfaces
Jörg Brüdern, Olivier Robert
Nagoya Math. J. 218: 51-100 (June 2015). DOI: 10.1215/00277630-2891245

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.

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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

Information

Published: June 2015
First available in Project Euclid: 11 May 2015

zbMATH: 1371.11139
MathSciNet: MR3345624
Digital Object Identifier: 10.1215/00277630-2891245

Subjects:
Primary: 11D45 , 11L15
Secondary: 11P55

Keywords: diagonal hypersurfaces , Hardy–Littlewood method , rational points

Rights: Copyright © 2015 Editorial Board, Nagoya Mathematical Journal

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Vol.218 • June 2015
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