On two functions arising in the study of the Euler and Carmichael quotients
Volume 149 / 2017
Colloquium Mathematicum 149 (2017), 179-192 MSC: 11A25, 11K65, 11N36. DOI: 10.4064/cm6910-3-2017 Published online: 8 May 2017
We investigate two arithmetic functions naturally occurring in the study of the Euler and Carmichael quotients. The functions are related to the frequency of vanishing of the Euler and Carmichael quotients. We obtain several results concerning the relations between these functions as well as their typical and extreme values.