Sam Chow

activity

20132026

most citedDyadic Approximation in the Middle-Third Cantor Set

1 citations · 2 across the 14 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

Generalised Rado and Roth criteria

Jonathan Chapman, Sam Chow

We study the Ramsey properties of equations $a_{1} P (x_{1}) + \dots + a_{s} P (x_{s}) = b$ , where $a_{1}, \dots, a_{s}, b$ are integers, and $P$ is an integer polynomial of degree $d$ . Provided th…

math.NT2022

A note on dyadic approximation in Cantor's set

Demi Allen, Simon Baker, Sam Chow +1

We consider the convergence theory for dyadic approximation in the middle-third Cantor set, $K$ , for approximation functions of the form $ψ_{τ} (n) = n^{- τ}$ ( $τ \geq 0$ ). In particular…

math.NT2022

Counting multiplicative approximations

Sam Chow, Niclas Technau

A famous conjecture of Littlewood (c. 1930) concerns approximating two real numbers by rationals of the same denominator, multiplying the errors. In a lesser-known paper, Wang and…