Publications de l'Institut Mathematique 2015 Volume 97, Issue 111, Pages: 175-180
https://doi.org/10.2298/PIM140617001T
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The sum of the unitary divisor function
Trudgian Tim (The Australian National University, Mathematical Sciences Institute, Canberra, Australia)
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 ≥ 570571.
Keywords: unitary divisors, exponential divisors, arithmetic functions