On the algebraic independence of periods of abelian varieties and their exponentials
Abstract
We generalize a result by Vasil’ev on the algebraic independence of periods of abelian varieties to the case where some of these periods are replaced by their exponentials. We derive several applications to values of the beta function at rational points.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Polynomial and algebraic computation
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- International Journal of Number Theory
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–15
- Publication date
- 3 August 2026
- Language
- EN