The sum of the unitary divisor function

Tim Trudgian

doi:10.2298/PIM140617001T

The sum of the unitary divisor function

Tim Trudgian^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We establish a new upper bound on the function σ*(n), the sum of all coprime divisors of n. The main result is that σ*(n) ≤ 1.3007n log log n for all n ≥ 570 571.

Original language	English
Pages (from-to)	175-180
Number of pages	6
Journal	Publications de l'Institut Mathematique
Volume	97
Issue number	111
DOIs	https://doi.org/10.2298/PIM140617001T
Publication status	Published - 2015

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title = "The sum of the unitary divisor function",

abstract = "We establish a new upper bound on the function σ*(n), the sum of all coprime divisors of n. The main result is that σ*(n) ≤ 1.3007n log log n for all n ≥ 570 571.",

keywords = "Arithmetic functions, Exponential divisors, Unitary divisors",

author = "Tim Trudgian",

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KW - Arithmetic functions

KW - Exponential divisors

KW - Unitary divisors

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The sum of the unitary divisor function

Abstract

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