Sharp bounds for the number of roots of univariate fewnomials

Let K be a field and t≥0. Denote by Bm(t,K) the supremum of the number of roots in K*, counted with multiplicities, that can have a non-zero polynomial in K[x] with at most t+1 monomial terms. We prove, using an unified approach based on Vandermonde determinants, that Bm(t,L)≤t2Bm(t,K) for any local...

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Detalles Bibliográficos
Autores principales: Avendaño, Martín, Krick, Teresa Elena Genoveva
Publicado: 2011
Materias:
Generalized vandermonde determinants
Lacunary polynomials
Local fields
Root counting
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022314X_v131_n7_p1209_Avendano
http://hdl.handle.net/20.500.12110/paper_0022314X_v131_n7_p1209_Avendano
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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