Sam Chow

activity

20132026

most citedBohr sets and multiplicative diophantine approximation

27 citations · 106 across the 33 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

5 papers · 2 filters

math.NT2014

Birch's theorem with shifts

Sam Chow

Let $f_{1}, ..., f_{R}$ be rational forms of degree $d \geq 2$ in $n > σ + R (R + 1) (d - 1) 2^{d - 1}$ variables, where $σ$ is the dimension of the affine variety cut out by the condition $\math…

math.NT2014★ 7 cited

Waring's problem with shifts

Sam Chow

Let $μ_{1}, \dots, μ_{s}$ be real numbers, with $μ_{1}$ irrational. We investigate sums of shifted $k$ th powers $F (x_{1}, \dots, x_{s}) = (x_{1} - μ_{1})^{k} + \dots + (x_{s} - μ_{s})^{k}$ …

math.NT2014★ 5 cited

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…

Birch's theorem with shifts

Waring's problem with shifts

Sums of cubes with shifts

Rationality and power

Distinguishing newforms