5 citations · 6 across the 7 of their papers we have counts for
6 papers · 1 filter
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…
Dispersion and Littlewood's conjecture
Sam Chow, Niclas Technau
Let . We construct an explicit, full-measure set of such that if then, for almost all , if then there are…
A note on rational points near planar curves
Sam Chow
Under fairly natural assumptions, Huang counted the number of rational points lying close to an arc of a planar curve. He obtained upper and lower bounds of the correct order of ma…
Sums of cubes with shifts
Sam Chow
Let be real numbers, with irrational. We investigate sums of shifted cubes . We show that if $η…
Rationality and power
Sam Chow, Bin Wei
We produce an infinite family of transcendental numbers which, when raised to their own power, become rational. We extend the method, to investigate positive rational solutions to…
Distinguishing newforms
Sam Chow, Alexandru Ghitza
Let be the number of initial Fourier coefficients necessary to distinguish newforms of level and even weight . We produce extensive data to support our conjecture…