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arXiv · 0805.1140

A Chebyshev criterion for Abelian integrals

Maite Grau·Francesc Mañosas·Jordi Villadelprat
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Abstract

We present a criterion that provides an easy sufficient condition in order that a collection of Abelian integrals has the Chebyshev property. This condition involves the functions in the integrand of the Abelian integrals and can be checked, in many cases, in a purely algebraic way. By using this criterion, several known results are obtained in a shorter way and some new results, which could not be tackled by the known standard methods, can also be deduced.

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Maite Grau, Francesc Mañosas, Jordi Villadelprat. 2008-05-09. A Chebyshev criterion for Abelian integrals. https://arxiv.org/abs/0805.1140

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