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Explicit upper bound for the average number of divisors of irreducible quadratic polynomials

Consider the divisor sum [Formula: see text] for integers b and c. We extract an asymptotic formula for the average divisor sum in a convenient form, and provide an explicit upper bound for this sum with the correct main term. As an application we give an improvement of the maximal possible number o...

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Detalles Bibliográficos
Autor principal: Lapkova, Kostadinka
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6060981/
https://www.ncbi.nlm.nih.gov/pubmed/30100634
http://dx.doi.org/10.1007/s00605-017-1061-y