Diophantine equations defined by binary quadratic forms over rational function fields
arXiv:1704.01753 · doi:10.4064/aa190404-8-12
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.
14 pages, git commit 20170117/57d58b6, to appear in Acta Arithmetica