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Sums of four and more unit fractions and approximate parametrizations

We prove new upper bounds on the number of representations of rational numbers [Formula: see text] as a sum of four unit fractions, giving five different regions, depending on the size of [Formula: see text] in terms of [Formula: see text]. In particular, we improve the most relevant cases, when [Fo...

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Detalles Bibliográficos
Autores principales: Elsholtz, Christian, Planitzer, Stefan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8248158/
https://www.ncbi.nlm.nih.gov/pubmed/34219809
http://dx.doi.org/10.1112/blms.12452