%0 Journal Article
%T Linear estimate for the number of zeros of Abelian integrals
%A S. G. Malev
%A D. Novikov
%J Mathematics
%D 2009
%I arXiv
%X We prove a linear in $\deg\omega$ upper bound on the number of real zeros of the Abelian integral $I(t)=\int_{\delta(t)}\omega$, where $\delta(t)\subset\R^2$ is the real oval $x^2y(1-x-y)=t$ and $\omega$ is a one-form with polynomial coefficients.
%U http://arxiv.org/abs/0903.5056v1