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 2016 · math.LOShow all

2 papers · 2 filters

math.LO2016★ 4 cited

Wilkie's conjecture for restricted elementary functions

Gal Binyamini, Dmitry Novikov

We consider the structure $R^{RE}$ obtained from $(R, <, +, \cdot)$ by adjoining the restricted exponential and sine functions. We prove Wilkie's conjectu…

math.LO2016★ 10 cited

The Pila-Wilkie theorem for subanalytic families: a complex analytic approach

Gal Binyamini, Dmitry Novikov

We present a complex analytic proof of the Pila-Wilkie theorem for subanalytic sets. In particular, we replace the use of $C^{r}$ -smooth parametrizations by a variant of Weierstrass…