Key points are not available for this paper at this time.
Let Formula: see text be a totally real number field, Formula: see text a positive integer, and Formula: see text a higher degree form over Formula: see text. We prove that there are at most finitely many totally real extensions Formula: see text of degree Formula: see text such that Formula: see text over Formula: see text is universal. Further, we show that there are no universal forms over totally real infinite extensions of Formula: see text having the Northcott property.
Om Prakash (Mon,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: