A Chebyshev criterion for Abelian integrals
Grau, Maite (Universitat de Lleida. Departament de Matemàtica)
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Villadelprat Yagüe, Jordi (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)

Date:	2011
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.
Grants:	Ministerio de Educación y Ciencia MTM2005-06098-C02-02 Ministerio de Educación y Ciencia MTM2005-06098-C02-01 Ministerio de Educación y Ciencia MTM2005-02139 Ministerio de Educación y Ciencia MTM2005-06098 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005/SGR-550
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Published in:	Transactions of the American Mathematical Society, Vol. 363 Núm. 1 (2011) , p. 109-129, ISSN 1088-6850

DOI: 10.1090/S0002-9947-2010-05007-X

Postprint 19 p, 535.1 KB

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