Yuk-Kam Lau

activity

20242026

collaborators

4 papers

math.NT2026

Möbius Disjointness Conjecture for a skew product on a circle and the Heisenberg nilmanifold

Yuk-Kam Lau, Jing Ma

We establish Sarnak's conjecture on Möbius disjointness for the dynamical system of a skew product on a circle and the three-dimensional Heisenberg nilmanifold, first studied by We…

math.NT2025

Prime detecting quasi-modular forms in higher level

Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau

In a previous work, the authors resolved a conjecture about the structure of prime-detecting quasi-modular forms by studying sign changes occurring in quasi-modular cusp forms. In…

math.NT2025

On a conjecture about prime-detecting quasimodular forms

Ben Kane, Krishnarjun Krishnamoorthy, Yuk-Kam Lau

Motivated by weighted partition of $n$ that vanish if and only if $n$ is a prime, Craig, van Ittersum, and Ono conjecture a classification of quasimodular forms which detect primes…

math.NT2024

Divisor problems for restricted Fourier coefficients of modular forms

Yuk-Kam Lau, Wonwoong Lee

Let $d (n)$ be the number of divisors of $n$ . We investigate the average value of $d (a_{f} (p))^{r}$ for $r$ a positive integer and $a_{f} (p)$ the $p$ -th Fourier coefficient of a cuspidal…