Uniform asymptotic bound on the number of zeros of Abelian integrals

2003/05/17 by Alexei Grigoriev, Grigoriev, Alexei
Mathematics · #34M10 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Meromorphic and Entire Functions #Nonlinear Partial Differential Equations #math.DS #msc:34M10

paper · pdf · doi:10.48550/arxiv.math/0305248

arxiv created 2003/05/17 · openalex publication_date 2003/05/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a uniform asymptotic bound for the number of zeros of complete Abelian integrals in domains bounded away from infinity and the singularities.

Citations

• Redundant Picard–Fuchs System for Abelian Integrals

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