Sehun Jeong

collaborators

3 papers

math.NT2026

Normal bases of small height in Galois number fields

Lenny Fukshansky, Sehun Jeong

Let $K$ be a number field of degree $d$ so that $K / Q$ is a Galois extension. The {\it normal basis theorem} states that $K$ has a $Q$ -basis consisting of algebraic…

math.NT2024

Integral zeros of quadratic polynomials avoiding sublattices

Lenny Fukshansky, Sehun Jeong

Assuming an integral quadratic polynomial with nonsingular quadratic part has a nontrivial zero on an integer lattice outside of a union of finite-index sublattices, we prove that…

math.NT2024

Diophantine avoidance and small-height primitive elements in ideals of number fields

Lenny Fukshansky, Sehun Jeong

Let $K$ be a number field of degree $d$ . Then every ideal $I$ in the ring of integers $O_{K}$ contains infinitely many primitive elements, i.e. elements of degree $d$ . A b…