Marian Deaconescu and Gary Walls: The Y factor, p.331-334

Abstract:

Combinatorial methods are applied to the holomorph of a cyclic group in order to derive, among other things, a statement that sheds some light on the well-known "totient" conjecture of D.H. Lehmer.

Key Words: Cyclic group, holomorph, automorphisms, orbits, Lehmer numbers.

2000 Mathematics Subject Classification: Primary: 20D60;
Secondary: 11A25, 11N80.

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