Zi Li Lim

collaborators

3 papers

math.NT2025

Generalised Fermat equations in dense variables over finite fields and rings

Sam Chow, Zi Li Lim, Akshat Mudgal

Let $A$ be a sufficiently dense subset of a finite field $F_{q}$ or a finite, cyclic ring $Z / N Z$ . Assuming that $q$ and $N$ have no small prime divisors, we…

math.NT2025

On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem

Zi Li Lim

We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least $5$ . Also, we obtain some new improvements on the densi…

math.NT2025

Zi Li Lim

Let $P (t), Q (t) \in Q (t)$ be rational functions such that $P (t), Q (t)$ and the constant function $1$ are linearly independent over $Q$ , we prove an asymptotic formul…

Generalised Fermat equations in dense variables over finite fields and rings

On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem

Uniform nonlinear SzemerÃ©di theorem for corners in finite fields