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math.NT2024
Northcott property and universality of higher degree forms
Om Prakash
Let be a totally real number field, a positive integer, and a higher degree form over . We prove that there are at most finitely many totally real extensions o…
math.NT2024★ 1 cited
There is no 290-Theorem for higher degree forms
Vitezslav Kala, Om Prakash
We study the universality of forms of degrees greater than 2 over rings of integers of totally real number fields. We show that such universal forms always exist, but cannot be cha…