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Highly composite polynomials and the maximum order of the divisor function in [Formula: see text]

We investigate the analogues, in [Formula: see text] , of highly composite numbers and the maximum order of the divisor function, as studied by Ramanujan. In particular, we determine a family of highly composite polynomials which is not too sparse, and we use it to compute the logarithm of the maxim...

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Detalles Bibliográficos
Autor principal: Afshar, Ardavan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550348/
https://www.ncbi.nlm.nih.gov/pubmed/34720673
http://dx.doi.org/10.1007/s11139-020-00299-2