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math.CA2011
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…
math.CA2011★ 5 cited
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…
math.CV2011
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…