Ranges of Unitary Divisor Functions

zbMath1439.11251arXiv1507.02654MaRDI QIDQ5384221

Colin Defant

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1507.02654

zbMATH Keywords

topological closure of the rangeunitary divisor functions

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (2)

On gaps in the closures of images of divisor functions ⋮ Connected components of complex divisor functions

Cites Work

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• Arithmetical functions associated with the unitary divisors of an integer
• On the edge dimension of a graph
• Connected components of complex divisor functions
• Some problems of Erdős on the sum-of-divisors function
• On ranges of variants of the divisor functions that are dense
• The Abundancy Ratio, a Measure of Perfection
• On the Density of Ranges of Generalized Divisor Functions
• On the Density of Ranges of Generalized Divisor Functions with Restricted Domains
• Measuring the Abundancy of Integers
• On the Closure of the Image of the Generalized Divisor Function
• Complex Divisor Functions
• On the interval containing at least one prime number
• Unsolved problems in number theory

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