arXiv:0805.1140 Abstract | arXiv Analytics

arXiv:0805.1140 [math.DS]Abstract References Reviews Resources

A Chebyshev criterion for Abelian integrals

Maite Grau, Francesc Mañosas, Jordi Villadelprat

Published 2008-05-08, updated 2008-05-09Version 2

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.

Comments: 17 pages, 1 figure

Categories: math.DS

Subjects: 34C08, 41A50, 34C23

Keywords: abelian integrals, chebyshev criterion, standard methods, sufficient condition, purely algebraic way

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