Diophantine equations defined by binary quadratic forms over rational function fields
Number Theory
2021-05-10 v2
Abstract
We study the ``imaginary" binary quadratic form equations ax^2+bxy+cy^2+g=0 over k[t] in rational function fields, showing that a condition with respect to the Artin reciprocity map, is the only obstruction to the local-global principle for integral solutions of the equation.
Cite
@article{arxiv.1704.01753,
title = {Diophantine equations defined by binary quadratic forms over rational function fields},
author = {Chang Lv},
journal= {arXiv preprint arXiv:1704.01753},
year = {2021}
}
Comments
14 pages, git commit 20170117/57d58b6, to appear in Acta Arithmetica