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December 2010 On Waring’s problem: Three cubes and a minicube
Jörg Brüdern, Trevor D. Wooley
Nagoya Math. J. 200(none): 59-91 (December 2010). DOI: 10.1215/00277630-2010-012

Abstract

We establish that almost all natural numbers n are the sum of four cubes of positive integers, one of which is no larger than n5/36. The proof makes use of an estimate for a certain eighth moment of cubic exponential sums, restricted to minor arcs only, of independent interest.

Citation

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Jörg Brüdern. Trevor D. Wooley. "On Waring’s problem: Three cubes and a minicube." Nagoya Math. J. 200 59 - 91, December 2010. https://doi.org/10.1215/00277630-2010-012

Information

Published: December 2010
First available in Project Euclid: 28 December 2010

zbMATH: 1238.11090
MathSciNet: MR2747878
Digital Object Identifier: 10.1215/00277630-2010-012

Subjects:
Primary: 11P05, 11P55

Rights: Copyright © 2010 Editorial Board, Nagoya Mathematical Journal

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Vol.200 • December 2010
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