27 citations · 106 across the 33 of their papers we have counts for
37 papers
A note on the -adic inhomogeneous Littlewood conjecture
Sam Chow, Owen Jones
Bugeaud, Haynes and Velani (2011) resolved a metric version of the -adic Littlewood conjecture. We establish a fully inhomogeneous generalisation of their result, as well as a p…
The strong form of Van der Waerden's conjecture via twisted Chowla
Theresa C. Anderson, Sam Chow, Rainer Dietmann +5
Determining the properties of a random polynomial has fuelled significant investigation over the past century. One driving force of this research is a 1936 paper of Van der Waerden…
Generalised Fermat equations in dense variables over finite fields and rings
Sam Chow, Zi Li Lim, Akshat Mudgal
Let be a sufficiently dense subset of a finite field or a finite, cyclic ring . Assuming that and have no small prime divisors, we…
Twisted Diophantine approximation for matrix transformations of tori
Sam Chow, Qing-Long Zhou
Consider a sequence of integral matrices , and a -tuple function . For a fixed vector ${\bm α},…
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…
Inhomogeneous Kaufman Measures and Diophantine Approximation
Sam Chow, Agamemnon Zafeiropoulos, Evgeniy Zorin
We introduce an inhomogeneous variant of Kaufman's measure, with applications to diophantine approximation. In particular, we make progress towards a problem related to Littlewood'…