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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Vienna
2023
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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 |