Semin Yoo

activity

20232026

most citedExplicit constructions of Diophantine tuples over finite fields

3 citations · 8 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.NT2024★ 2 cited

$F$ -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…

math.CO2024

Paley-like quasi-random graphs arising from polynomials

Seoyoung Kim, Chi Hoi Yip, Semin Yoo

Paley graphs and Paley sum graphs are classical examples of quasi-random graphs. In this paper, we provide new constructions of families of quasi-random graphs that behave like Pal…

math.NT2024★ 3 cited

Explicit constructions of Diophantine tuples over finite fields

Seoyoung Kim, Chi Hoi Yip, Semin Yoo

A Diophantine $m$ -tuple over a finite field $F_{q}$ is a set ${a_{1}, \dots, a_{m}}$ of $m$ distinct elements in $F_{q}^{*}$ such that $a_{i} a_{j} + 1$ is a square in $…

F-Diophantine sets over finite fields

Paley-like quasi-random graphs arising from polynomials

Explicit constructions of Diophantine tuples over finite fields

$F$ -Diophantine sets over finite fields