Sam Chow

5 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2017

Triangles with prime hypotenuse

Sam Chow, Carl Pomerance

The sequence $3, 5, 9, 11, 15, 19, 21, 25, 29, 35, \dots$ consists of odd legs in right triangles with integer side lengths and prime hypotenuse. We show that the upper density of t…

math.NT2014★ 5 cited

Sums of cubes with shifts

Sam Chow

Let $μ_{1}, \dots, μ_{s}$ be real numbers, with $μ_{1}$ irrational. We investigate sums of shifted cubes $F (x_{1}, \dots, x_{s}) = (x_{1} - μ_{1})^{3} + \dots + (x_{s} - μ_{s})^{3}$ . We show that if $η…

math.NT2014

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…

math.NT2014

Distinguishing newforms

Sam Chow, Alexandru Ghitza

Let $n_{0} (N, k)$ be the number of initial Fourier coefficients necessary to distinguish newforms of level $N$ and even weight $k$ . We produce extensive data to support our conjecture…