On the algebraic independence of periods of abelian varieties and their exponentials

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.

Authors

Publication Details

Journal
International Journal of Number Theory
Published
2026-08-03
DOI
https://doi.org/10.1142/s179304212650137x
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On the algebraic independence of periods of abelian varieties and their exponentials

Riccardo Tosi
International Journal of Number Theory
Advanced Differential Equations and Dynamical Systems
article

On the algebraic independence of periods of abelian varieties and their exponentials

Riccardo Tosi
article en

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.

International Journal of Number Theory
Reduced inequalities
Openalex Percentile: Top 97%
Advanced Differential Equations and Dynamical Systems
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.