James Leng

collaborators

3 papers

math.DS2025

Quantitative pyjama

Noah Kravitz, James Leng

The "pyjama stripe" with parameter $ε > 0$ is the set $E (ε)$ of all complex numbers $z$ such that the distance from $ℜ (z)$ to the nearest integer is at most $\v…

math.CO2024

Corners with polynomial side length

Noah Kravitz, Borys Kuca, James Leng

A $P$ -polynomial corner, for $P \in Z [z]$ a polynomial, is a triple of points $(x, y), (x + P (z), y), (x, y + P (z))$ for $x, y, z \in Z$ . In the case where $P$ has an…

math.CO2024

Quantitative concatenation for polynomial box norms

Noah Kravitz, Borys Kuca, James Leng

Using PET and quantitative concatenation techniques, we establish box-norm control with the "expected" directions for counting operators for general multidimensional polynomial pro…