A Chebyshev criterion for Abelian integrals

dc.contributor.author
Grau Montaña, Maite
dc.contributor.author
Mañosas, Francesc
dc.contributor.author
Villadelprat, Jordi
dc.date.accessioned
2024-12-05T21:39:42Z
dc.date.available
2024-12-05T21:39:42Z
dc.date.issued
2016-09-12T10:01:10Z
dc.date.issued
2016-09-12T10:01:10Z
dc.date.issued
2010
dc.identifier
https://doi.org/10.1090/S0002-9947-2010-05007-X
dc.identifier
0002-9947
dc.identifier
http://hdl.handle.net/10459.1/57786
dc.identifier.uri
http://hdl.handle.net/10459.1/57786
dc.description.abstract
El pdf de l'article és la versió preprint: arXiv:0805.1140
dc.description.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.
dc.description.abstract
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
dc.description.abstract
https://arxiv.org/abs/0805.1140
dc.language
eng
dc.publisher
American Mathematical Society
dc.relation
MIECI/PN2004-2007/MTM2005-06098-C02-02
dc.relation
Versió preprint del document publicat a https://doi.org/10.1090/S0002-9947-2010-05007-X
dc.relation
Transactions of the American Mathematical Society, 2011, vol. 363, núm. 1, p. 109-129
dc.rights
(c) American Mathematical Society, 2010
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Integrals
dc.subject
Matemàtica
dc.title
A Chebyshev criterion for Abelian integrals
dc.type
article
dc.type
submittedVersion


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