Mathematics > Number Theory
[Submitted on 31 Dec 2023
]
Title: Anisotropy of quadratic forms over a global field of odd characteristic is diophantine
Title: 具有奇特征的全局域上的二次型的各向异性是丢番图的
Abstract: We prove that the anisotropy of quadratic forms over any global field of characteristic not equal to 2 is diophantine, by using a generalization of the method of Koenigsmann and some known results in diophantine sets and quadratic forms.
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