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arXiv · 2104.10547

Algorithms for quadratic forms over global function fields of odd characteristic

Mawunyo Kofi Darkey-Mensah
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Abstract

This paper presents an adaptation of recently developed algorithms for quadratic forms over number fields in arXiv:1304.0708 to global function fields of odd characteristics. First, we present algorithm for checking if a given non-degenerate quadratic form is isotropic or hyperbolic. Next we devise a method for computing the dimension of the anisotropic part of a quadratic form. Finally we present algorithms computing two field invariants: the level and the Pythagoras number.

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Mawunyo Kofi Darkey-Mensah. 2021-04-21. Algorithms for quadratic forms over global function fields of odd characteristic. https://arxiv.org/abs/2104.10547

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