K. Fan

activity

20242026

collaborators

3 papers

math.CA2026

Tiles and weak tiles in $Z_{pq}$

Mamateli Kadir, Kaibo Fan

This paper investigates the relationship between tiles and weak tiles in the context of finite cyclic group $Z_{pq}$ . We prove that weak tiles and translational tiles are…

math.NT2025

Counting primes with a given primitive root, uniformly

Steve Fan, Paul Pollack

The celebrated Artin conjecture on primitive roots asserts that given any integer $g$ which is neither $- 1$ nor a perfect square, there is an explicit constant $A (g) > 0$ such that t…

math.NT2024

The shifted prime-divisor function over shifted primes

Steve Fan

Let $a, b \in Z ∖ {0}$ . For every $n \in N$ , denote by $I ¨ _{a}^{*} (n)$ the number of shifted-prime divisors $p - a$ of $n$ , where $p > a$ is prime. In this paper, we s…

Tiles and weak tiles in Zpq​

Counting primes with a given primitive root, uniformly

The shifted prime-divisor function over shifted primes

Tiles and weak tiles in $Z_{pq}$