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math.NT2026
High dimensional Riemann--Roch spaces in linear spaces with small squares
Nihan Tanısalı, Mieke Wessel
Let be a function field over an algebraically closed field and a finite dimensional -subspace of . The square of 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 be a non-singular quadratic form with sufficiently many mixed terms and an integer. For a sequence of weights we study the number of weighted so…
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 Theorem to a multiplicative version in a function field setting. As a co…