1 citations · 2 across the 14 of their papers we have counts for
4 papers · 1 filter
Higher-rank Bohr sets and multiplicative diophantine approximation
Sam Chow, Niclas Technau
Gallagher's theorem is a sharpening and extension of the Littlewood conjecture that holds for almost all tuples of real numbers. We provide a fibre refinement, solving a problem po…
Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
Sam Chow, Anish Ghosh, Lifan Guan +2
We extend the Khintchine transference inequalities, as well as a homogeneous-inhomogeneous transference inequality for lattices, due to Bugeaud and Laurent, to a weighted setting.…
Enumerative Galois theory for cubics and quartics
Sam Chow, Rainer Dietmann
We show that there are monic, cubic polynomials with integer coefficients bounded by in absolute value whose Galois group is . We also…
Rado's criterion over squares and higher powers
Sam Chow, Sofia Lindqvist, Sean Prendiville
We establish partition regularity of the generalised Pythagorean equation in five or more variables. Furthermore, we show how Rado's characterisation of a partition regular equatio…