Artin's Conjecture and systems of diagonal equations
Number Theory
2022-11-21 v1
Abstract
We show that Artin's conjecture concerning p-adic solubility of Diophantine equations fails for infinitely many systems of r homogeneous diagonal equations whenever r>1.
Cite
@article{arxiv.1307.1396,
title = {Artin's Conjecture and systems of diagonal equations},
author = {Trevor D. Wooley},
journal= {arXiv preprint arXiv:1307.1396},
year = {2022}
}