Gal Binyamini

activity

20082026

most citedOn the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem

72 citations · 140 across the 39 of their papers we have counts for

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Showing 2015 · math.CAShow all

2 papers · 2 filters

math.CA2015★ 1 cited

Zero counting and invariant sets of differential equations

Gal Binyamini

Consider a polynomial vector field $ξ$ in $C^{n}$ with algebraic coefficients, and $K$ a compact piece of a trajectory. Let $N (K, d)$ denote the maximal number of isolated in…

math.CA2015

Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation

Dmitry Batenkov, Gal Binyamini

Given two polynomials $P, q$ we consider the following question: "how large can the index of the first non-zero moment $m ~_{k} = \int_{a}^{b} P^{k} q$ be, assuming the sequence is not…