Sam Chow

activity

20132026

most citedDyadic Approximation in the Middle-Third Cantor Set

1 citations · 2 across the 14 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

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

Twisted Diophantine approximation for matrix transformations of tori

Sam Chow, Qing-Long Zhou

Consider a sequence of integral matrices $A = (A_{n})_{n \in N}$ , and a $d$ -tuple function $r = (r_{1}, \dots, r_{d}) : N \to (0, \frac{1}{2})$ . For a fixed vector ${\bm α},…

math.NT2025

General Duffin--Schaeffer-type counterexamples in diophantine approximation

Sam Chow, Manuel Hauke, Andrew Pollington +1

Duffin and Schaeffer provided a famous counterexample to show that Khintchine's theorem fails without monotonicity assumption. Given any monotonically decreasing approximation func…