Simon Leo Rydin Myerson

collaborators

3 papers

math.NT2026

A two-dimensional delta symbol method and its application to pairs of quadratic forms

Junxian Li, Simon L. Rydin Myerson, Pankaj Vishe

We present a two-dimensional delta symbol method that facilitates a version of the Kloosterman refinement of the circle method, addressing a question posed by Heath-Brown. As an ap…

math.NT2025

Expander estimates for cubes

Joerg Bruedern, Simon L Rydin Myerson

If $A$ is a set of natural numbers of exponential density $I^´$ , then the exponential density of all numbers of the form $x^{3} + a$ with $x \in N$ and $a \in A$ i…

math.AP2025

Bounds for spectral projectors on the three-dimensional torus

Pierre Germain, Simon L. Rydin Myerson, Daniel Pezzi

We study $L^{2}$ to $L^{p}$ operator norms of spectral projectors for the Euclidean Laplacian on the torus in the case where the spectral window is narrow. With a window of constant si…