C. Yip

activity

20212026

most citedAn annotated bibliography for comparative prime number theory

5 citations · 24 across the 23 of their papers we have counts for

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Showing 2024 · math.NTShow all

5 papers · 2 filters

math.NT2024

Oscillation results for the summatory functions of fake mu's

Greg Martin, Chi Hoi Yip

Mossinghoff, Trudgian, and the first author~\cite{MMT23} recently introduced a family of arithmetic functions called ``fake $μ$ 's'', which are multiplicative functions for which th…

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.NT2024★ 1 cited

On cyclotomic matrices involving Gauss sums over finite fields

Hai-Liang Wu, Jie Li, Li-Yuan Wang +1

Inspired by the works of L. Carlitz and Z.-W. Sun on cyclotomic matrices, in this paper, we investigate certain cyclotomic matrices involving Gauss sums over finite fields, which c…

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 $…