Diophantine equations defined by binary quadratic forms over rational function fields

Chang Lv

doi:10.4064/aa190404-8-12

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arXiv · 1704.01753

Diophantine equations defined by binary quadratic forms over rational function fields

Chang Lv

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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.

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Chang Lv. 2017-04-06. Diophantine equations defined by binary quadratic forms over rational function fields. https://doi.org/10.4064/aa190404-8-12

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