A Finitary Hasse Principle for Diagonal Curves
Number Theory
2014-04-11 v1
Abstract
We prove a Hasse principle for solving equations of the form ax+by+cz=0 where x, y, z belong to a given finite index subgroup of the multiplicative group of rational numbers. From this we deduce a Hasse principle for diagonal curves over fields of algebraic numbers with finitely generated Galois group.
Cite
@article{arxiv.1404.2849,
title = {A Finitary Hasse Principle for Diagonal Curves},
author = {Jean Bourgain and Michael Larsen},
journal= {arXiv preprint arXiv:1404.2849},
year = {2014}
}
Comments
11 pages