On the square-free representation function of a norm form and nilsequences
Number Theory
2015-11-18 v2
Abstract
We show that the restriction to square-free numbers of the representation function attached to a norm form does not correlate with nilsequences. By combining this result with previous work of Browning and the author, we obtain an application that is used in recent work of Harpaz and Wittenberg on the fibration method for rational points.
Cite
@article{arxiv.1409.5028,
title = {On the square-free representation function of a norm form and nilsequences},
author = {Lilian Matthiesen},
journal= {arXiv preprint arXiv:1409.5028},
year = {2015}
}
Comments
26 pages; revision taking into account referee's comments