Abstract
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.
Original language | English |
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Pages (from-to) | 179-192 |
Number of pages | 14 |
Journal | Colloquium Mathematicum |
Volume | 149 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2017 |
Externally published | Yes |
Keywords
- Carmichael function
- Carmichael quotient
- Euler function
- Euler quotient
- greatest common divisor