Geodesic
On two functions arising in the study of the Euler and Carmichael quotients
Florian Luca1 ; Min Sha2 ; Igor E. Shparlinski2
1 School of Mathematics University of the Witwatersrand Private Bag X3 Wits 2050, South Africa and Department of Mathematics Faculty of Sciences University of Ostrava 30. dubna 22 701 03 Ostrava 1, Czech Republic
2 School of Mathematics and Statistics University of New South Wales Sydney, NSW 2052, Australia
Colloquium Mathematicum, Tome 149 (2017) no. 2, pp. 179-192

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm6910-3-2017
Keywords: investigate arithmetic functions naturally occurring study euler carmichael quotients functions related frequency vanishing euler carmichael quotients obtain several results concerning relations between these functions their typical extreme values

Florian Luca 1 ; Min Sha 2 ; Igor E. Shparlinski 2

1 School of Mathematics University of the Witwatersrand Private Bag X3 Wits 2050, South Africa and Department of Mathematics Faculty of Sciences University of Ostrava 30. dubna 22 701 03 Ostrava 1, Czech Republic
2 School of Mathematics and Statistics University of New South Wales Sydney, NSW 2052, Australia 
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Florian Luca; Min Sha; Igor E. Shparlinski. On two functions arising in the study of the Euler and Carmichael quotients. Colloquium Mathematicum, Tome 149 (2017) no. 2, pp. 179-192. doi: 10.4064/cm6910-3-2017

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