The Dixmier Conjecture and the shape of possible counterexamples

Mostrar todas las versiones(3)

We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.

Guardado en:
Detalles Bibliográficos
Autores principales: Guccione, J.A., Guccione, J.J., Valqui, C.
Formato: JOUR
Materias:
Dixmier Conjecture
Weyl algebra
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00218693_v399_n_p581_Guccione
record_format dspace
spelling todo:paper_00218693_v399_n_p581_Guccione2023-10-03T14:21:31Z The Dixmier Conjecture and the shape of possible counterexamples Guccione, J.A. Guccione, J.J. Valqui, C. Dixmier Conjecture Weyl algebra We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc. Fil:Guccione, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Guccione, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dixmier Conjecture
Weyl algebra
spellingShingle Dixmier Conjecture
Weyl algebra
Guccione, J.A.
Guccione, J.J.
Valqui, C.
The Dixmier Conjecture and the shape of possible counterexamples
topic_facet Dixmier Conjecture
Weyl algebra
description We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.
format JOUR
author Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_facet Guccione, J.A.
Guccione, J.J.
Valqui, C.
author_sort Guccione, J.A.
title The Dixmier Conjecture and the shape of possible counterexamples
title_short The Dixmier Conjecture and the shape of possible counterexamples
title_full The Dixmier Conjecture and the shape of possible counterexamples
title_fullStr The Dixmier Conjecture and the shape of possible counterexamples
title_full_unstemmed The Dixmier Conjecture and the shape of possible counterexamples
title_sort dixmier conjecture and the shape of possible counterexamples
url http://hdl.handle.net/20.500.12110/paper_00218693_v399_n_p581_Guccione
work_keys_str_mv AT guccioneja thedixmierconjectureandtheshapeofpossiblecounterexamples
AT guccionejj thedixmierconjectureandtheshapeofpossiblecounterexamples
AT valquic thedixmierconjectureandtheshapeofpossiblecounterexamples
AT guccioneja dixmierconjectureandtheshapeofpossiblecounterexamples
AT guccionejj dixmierconjectureandtheshapeofpossiblecounterexamples
AT valquic dixmierconjectureandtheshapeofpossiblecounterexamples
_version_ 1807320772900814848

Ejemplares similares