diophantine approximation 1eisenstein integers 1gaussian integers 1homogeneous dynamics 1zero-one laws 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DS2026
Zero-one laws for uniform approximation via Gaussian and Eisenstein integers
René Pfitscher, Anurag Rao, Shucheng Yu +1
The paper proves two zero‑one laws for uniform Diophantine approximation of complex numbers by quotients of Gaussian and Eisenstein integers, using homogeneous dynamics and shrinki…
math.NT2025
Integrability of Siegel transforms and an application
René Pfitscher
We establish sharp algebraic criteria for the -integrability, for , of a natural generalization of the Siegel transform to the setting of rational represen…
math.NT2024
Counting rational approximations on rank one flag varieties
René Pfitscher
On a generalized flag variety of rank one, we count rational approximations to a real point chosen randomly according to the Riemannian volume. In particular, our results apply to…