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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 2013Show all

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math.CV2013

Multiplicity Operators

Gal Binyamini, Dmitry Novikov

For functions of a single complex variable, points of multiplicity greater than are characterized by the vanishing of the first derivatives. There are various quantitative…

math.CA2013★ 2 cited

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.…