72 citations · 140 across the 39 of their papers we have counts for
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math.LO2022★ 1 cited
Sharply o-minimal structures and sharp cellular decomposition
Gal Binyamini, Dmitri Novikov, Benny Zak
Sharply o-minimal structures (denoted \so-minimal) are a strict subclass of the o-minimal structures, aimed at capturing some finer features of structures arising from algebraic ge…
math.NT2022★ 1 cited
Rational points of rigid-analytic sets: a Pila-Wilkie type theorem
Gal Binyamini, Fumiharu Kato
We establish a rigid-analytic analog of the Pila-Wilkie counting theorem, giving sub-polynomial upper bounds for the number of rational points in the transcendental part of a $\mat…
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…