2 citations · 2 across the 3 of their papers we have counts for
4 papers
Wilkie's conjecture for restricted elementary functions
Gal Binyamini, Dmitry Novikov
We consider the structure obtained from by adjoining the restricted exponential and sine functions. We prove Wilkie's conjectu…
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.…
Intersection multiplicities of Noetherian functions
Gal Binyamini, Dmitry Novikov
We provide a partial answer to the following problem: \emph{give an effective upper bound on the multiplicity of non-isolated common zero of a tuple of Noetherian functions}. More…