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math.LO2022★ 2 cited
Wilkie's conjecture for Pfaffian structures
Gal Binyamini, Dmitry Novikov, Benny Zack
We prove an effective form of Wilkie's conjecture in the structure generated by restricted sub-Pfaffian functions: the number of rational points of height lying in the transcen…
math.LO2020
Effective cylindrical cell decompositions for restricted sub-Pfaffian sets
Gal Binyamini, Nicolai Vorobjov
The o-minimal structure generated by the restricted Pfaffian functions, known as restricted sub-Pfaffian sets, admits a natural measure of complexity in terms of a format $\mathcal…
math.LO2016
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…