2 papers
math.NT2026
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…
math.NT2023
On the variance of the Fibonacci partition function
Sam Chow, Owen Jones
We determine the order of magnitude of the variance of the Fibonacci partition function. The answer is different to the most naive guess. The proof involves a diophantine system an…