Sign up ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Are there any know (preferably implemented) algorithms to find solutions to quadratic forms over number fields (or global fields)?

I am especially interested in the quaternary case. There exist some algorithms for ternary quadratic forms, some of which are implemented in Magma.

The only algorithm for quaternary forms over the rationals I know of is described in Algorithms for solving rational quadratics (Schicho, Pílniková). It works by dividing the equation up into two appropriate ternary forms. However I see no easy way to make it work over number fields.

share|cite|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.