On the number of zeros of analytic functions in a neighborhood of a Fuchsian singular point with real spectrum

DOI10.4310/MRL.1996.v3.n3.a6zbMath0871.34005OpenAlexW2058248533MaRDI QIDQ1815214

Moshe Roitman, Sergey Yu. Yakovenko

Publication date: 2 December 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1996.v3.n3.a6

zbMATH Keywords

number of zeros of analytic functions in a neighborhood of a fuchsian singular point with real spectrumupper bound for the number of isolated zeros

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Ordinary differential equations in the complex domain (34M99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Tangential Hilbert problem for perturbations of hyperelliptic Hamiltonian systems ⋮ On global non-oscillation of linear ordinary differential equations with polynomial coefficients ⋮ Oscillation of linear ordinary differential equations: on a theorem of A. Grigoriev ⋮ A NOTE ON THE CRITICAL PERIODS OF POTENTIAL SYSTEMS ⋮ Restricted infinitesimal Hilbert's sixteenth problem ⋮ Polynomial bounds for the oscillation of solutions of Fuchsian systems ⋮ On the number of zeros of Abelian integrals. A constructive solution of the infinitesimal Hilbert sixteenth problem ⋮ Redundant Picard-Fuchs system for abelian integrals

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