Rishi Kumar

collaborators

3 papers

math.NT2026

On the diffraction spectrum of the set of visible points in lattices and certain cut-and-project sets

Rishi Kumar, Carlos Ospina

Let $k \geq 2$ be a positive integer. It is known that the set of visible lattice points from the origin in $Z^{k}$ has a translation bounded pure point diffraction spectrum.…

math.NT2026

Simultaneous visibility in the algebraic lattice

Rishi Kumar, Wataru Takeda

Let $K$ be a number field with ring of integers $O$ . Two lattice points $x, y \in O^{m}$ with $m \geq 2$ are said to be visible from one another if $\gcd((x_i…

math.DS2025

On the error bounds for visible points in some cut-and-project sets

Ilya Gringlaz, Rishi Kumar, Barak Weiss

We study points in cut-and-project sets which are visible from the origin, continuing a direction of inquiry initiated in [6,14] where the asymptotic density of visible points was…