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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations

Let V be a valuation ring of a global field K. We show that for all positive integers k and [Formula: see text] there exists an integer-valued polynomial on V, that is, an element of [Formula: see text] , which has precisely k essentially different factorizations into irreducible elements of [Formul...

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Detalles Bibliográficos
Autores principales: Fadinger-Held, Victor, Frisch, Sophie, Windisch, Daniel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10576700/
https://www.ncbi.nlm.nih.gov/pubmed/37846214
http://dx.doi.org/10.1007/s00605-023-01895-2