The Hasse principle for pairs of diagonal cubic forms
Number Theory
2013-11-01 v1
Abstract
By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables.
Cite
@article{arxiv.0710.4778,
title = {The Hasse principle for pairs of diagonal cubic forms},
author = {J. Bruedern and T. D. Wooley},
journal= {arXiv preprint arXiv:0710.4778},
year = {2013}
}
Comments
Accepted to appear in Annals of Mathematics, 9th September 2005