Simple exponential estimate for the number of real zeros of complete abelian integrals
type: Item
instance of: scholarly article
title: Simple exponential estimate for the number of real zeros of complete abelian integrals
zbMATH Open document ID: 0832.58028
author: Dmitry Novikov
author: S. Yakovenko
publication date: 1995-11-28T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75150
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 14K20
Mathematics Subject Classification ID: 14D05
zbMATH DE Number: 821336
zbMATH Keywords: Abelian integrals
zbMATH Keywords: irreducible equations
zbMATH Keywords: Fuchsian singularities
zbMATH Keywords: polynomial envelopes
zbMATH Keywords: number of ovals
zbMATH Keywords: foliation
MaRDI profile type: Publication
OpenAlex ID: W2070282275
cites work: Q5749622
cites work: Q5330830
cites work: Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group
cites work: Counting real zeros of analytic functions satisfying linear ordinary differential equations
cites work: Q3231543
cites work: An explicit bound for the multiplicity of zeros of generic Abelian integrals
cites work: Q4838266
cites work: Non-oscillation of elliptic integrals
cites work: Complete Abelian integrals as rational envelopes
DOI: 10.5802/AIF.1478
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 821336