The Hasse principle for systems of diagonal cubic forms
Number Theory
2022-03-01 v2
Abstract
We establish the Hasse Principle for systems of r simultaneous diagonal cubic equations whenever the number of variables exceeds 6r and the associated coefficient matrix contains no singular r x r submatrix, thereby achieving the theoretical limit of the circle method for such systems.
Cite
@article{arxiv.1304.5165,
title = {The Hasse principle for systems of diagonal cubic forms},
author = {Joerg Bruedern and Trevor D. Wooley},
journal= {arXiv preprint arXiv:1304.5165},
year = {2022}
}
Comments
18pp; Section 2 revised to address referee comments