Gal Binyamini

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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 2026 · math.CAShow all

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math.CA2026

Establishing the Polynomial Wolff Axioms for $δ$ -Separated $δ$ -Tubes With #o-minimality

Gal Binyamini, Yuval Salant

We establish the full version of a conjecture of Guth and Zahl, giving a lower bound for the volume of a semialgebraic set that has a large intersection with a collection of $δ$ -se…

math.CA2026

Estimating the number of real zeros of linear combinations of radicals of polynomials

Gal Binyamini, Avner Kiro, Alexander Logunov +2

We obtain upper bounds for the number of real zeros of functions of the form $f (x) = k = 1 \sum n c_{k} (P_{k} (x))^{α_{k}},$ where $c_{k}, α_{k} \in R$ and each $P_k…

Establishing the Polynomial Wolff Axioms for δ-Separated δ-Tubes With #o-minimality

Estimating the number of real zeros of linear combinations of radicals of polynomials

Establishing the Polynomial Wolff Axioms for $δ$ -Separated $δ$ -Tubes With #o-minimality