Fabian Gundlach

activity

20132022

most citedIntegral Brauer-Manin obstructions for sums of two squares and a power

10 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2022

Malle's conjecture with multiple invariants

Fabian Gundlach

We define invariants $inv_{1}, \dots, inv_{m}$ of Galois extensions of number fields with a fixed Galois group. Then, we propose a heuristic in the spirit o…

math.AG2021

Polynomials vanishing at lattice points in a convex set

Fabian Gundlach

Let $P$ be a bounded convex subset of $R^{n}$ of positive volume. Denote the smallest degree of a polynomial $p (X_{1}, \dots, X_{n})$ vanishing on $P \cap Z^{n}$ by $r_{P}$ and d…

math.NT2013★ 10 cited

Integral Brauer-Manin obstructions for sums of two squares and a power

Fabian Gundlach

We use Brauer-Manin obstructions to explain failures of the integral Hasse principle and strong approximation away from infinity for the equation x^2+y^2+z^k=m with fixed integers…