M. Wessel

activity

20242026

collaborators

4 papers

math.NT2026

High dimensional Riemann--Roch spaces in linear spaces with small squares

Nihan Tanısalı, Mieke Wessel

Let $F$ be a function field over an algebraically closed field $K$ and $S$ a finite dimensional $K$ -subspace of $F$ . The square of $S$ is spanned by all products of pairs of elemen…

math.NT2025

Solving quadratic forms in restricted variables with the circle method

Mieke Wessel, Svenja zur Verth

Let $f (x)$ be a non-singular quadratic form with sufficiently many mixed terms and $t$ an integer. For a sequence of weights $A$ we study the number of weighted so…

math.CO2024

A graph-theoretic proof of Cobham's Dichotomy for automatic sequences

Mieke Wessel

We give a new graph-theoretic proof of Cobham's Theorem which says that the support of an automatic sequence is either sparse or grows at least like $N^{α}$ for some $α > 0$ . The proo…

math.NT2024

On Freiman's Theorem in a function field setting

Mieke Wessel

We prove some new instances of a conjecture of Bachoc, Couvreur and Zémor that generalizes Freiman's $3 k - 4$ Theorem to a multiplicative version in a function field setting. As a co…