Joerg Bruedern

collaborators

3 papers

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.NT2024

Estimates for smooth Weyl sums on minor arcs

Joerg Bruedern, Trevor D. Wooley

We provide new estimates for smooth Weyl sums on minor arcs and explore their consequences for the distribution of the fractional parts of $I^\pm n^{k}$ . In particular, when $k \geq 6$ and…

math.NT2024

Estimates for smooth Weyl sums on major arcs

Joerg Bruedern, Trevor D. Wooley

We present estimates for smooth Weyl sums of use on sets of major arcs in applications of the Hardy-Littlewood method. In particular, we derive mean value estimates on major arcs f…