2026-04-05T12:50:33Zhttps://recercat.cat/oai/request

oai:recercat.cat:10459.1/577862024-12-05T21:39:42Zcom_2072_3622col_2072_479130

2024-12-05T21:39:42Z urn:hdl:10459.1/57786 A Chebyshev criterion for Abelian integrals Grau Montaña, Maite Mañosas, Francesc Villadelprat, Jordi Integrals Matemàtica El pdf de l'article és la versió preprint: arXiv:0805.1140 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. The first author is partially supported by the MEC/FEDER grant MTM2005-06098-C02-02. The second author by the MEC/FEDER grants MTM2005-02139 and MTM2005-06098 and the C IRIT grant 2005SGR-00550. The third author by the MEC/FEDER grant MTM2005-06098-C02-01 and the CIRIT grant 2 005SGR-0055 https://arxiv.org/abs/0805.1140 2024-12-05T21:39:42Z 2024-12-05T21:39:42Z 2016-09-12T10:01:10Z 2016-09-12T10:01:10Z 2010 article submittedVersion http://hdl.handle.net/10459.1/57786 MIECI/PN2004-2007/MTM2005-06098-C02-02 Versió preprint del document publicat a https://doi.org/10.1090/S0002-9947-2010-05007-X Transactions of the American Mathematical Society, 2011, vol. 363, núm. 1, p. 109-129 (c) American Mathematical Society, 2010 info:eu-repo/semantics/openAccess American Mathematical Society