72 citations · 140 across the 39 of their papers we have counts for
7 papers · 1 filter
Establishing the Polynomial Wolff Axioms for -Separated -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 -se…
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 where and each $P_k…
Zero counting and invariant sets of differential equations
Gal Binyamini
Consider a polynomial vector field in with algebraic coefficients, and a compact piece of a trajectory. Let denote the maximal number of isolated in…
Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation
Dmitry Batenkov, Gal Binyamini
Given two polynomials we consider the following question: "how large can the index of the first non-zero moment be, assuming the sequence is not…
Moment vanishing of piecewise solutions of linear ODEs
Dmitry Batenkov, Gal Binyamini
We consider the "moment vanishing problem" for a general class of piecewise-analytic functions which satisfy on each continuity interval a linear ODE with polynomial coefficients.…
Quasialgebraic Functions
Gal Binyamini, Dmitry Novikov, Sergei Yakovenko
We introduce and discuss a new class of (multivalued analytic) transcendental functions which still share with algebraic functions the property that the number of their isolated ze…
A Uniform Version of the Petrov-Khovanskii Theorem
Gal Binyamini, Gal Dor
An Abelian integral is the integral over the level curves of a Hamiltonian of an algebraic form . The infinitesimal Hilbert sixteenth problem calls for the study of the numb…