Semin Yoo

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2026

Additive decompositions of multiplicative subgroups via differential identities

Chi Hoi Yip, Semin Yoo

Sárközy conjectured that the nonzero quadratic residues modulo a sufficiently large prime have no nontrivial additive decomposition. Hanson and Petridis proved the conjecture for a…

math.NT2026

Multiplicative subgroups are not restricted sumsets

Chi Hoi Yip, Semin Yoo

We determine exactly which proper multiplicative subgroups of a prime field can be represented as a restricted sumset of the form $A\mathbin{\widehat{+}} A=\{a+a':a,a'\in A,\ a\ne…

math.NT2024

$F$ -Diophantine sets over finite fields

Chi Hoi Yip, Semin Yoo

Let $k \geq 2$ , $q$ be an odd prime power, and $F \in F_{q} [x_{1}, \dots, x_{k}]$ be a polynomial. An $F$ -Diophantine set over a finite field $F_{q}$ is a set $A \subset…

Additive decompositions of multiplicative subgroups via differential identities

Multiplicative subgroups are not restricted sumsets

F-Diophantine sets over finite fields

$F$ -Diophantine sets over finite fields