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math.NT2026
The addition on totally positive integers uniquely determines the totally real number field
Vitezslav Kala, Ritoprovo Roy
Let be a totally real number field. We prove that the totally positive algebraic integers of , viewed as an abstract additive semigroup, uniquely determine…
math.NT2026
There are consecutive cubic fields with large class numbers, when ordered by discriminant
Vitezslav Kala, Om Prakash
We consider cubic number fields ordered by their discriminants, and show that there exist arbitrarily long sequences that contain only fields with class numbers greater than a give…