|
Organizers |
Totients with special arithmetic properties
by
Florian Luca
UNAM
Coauthors: W. Banks, F. Pappalardi, F. Saidak, I.E. Shparlinski
Given a positive integer n, let \phi(n) be the Euler function of n and \lambda(n) be the Carmichael function of n. Recall that \phi(n) measures the order of the group of invertible elements modulo n, while \lambda(n) measures the exponent (largest possible order) of the above group. In my talk, I will present various results concerning the sets of positive integers n for which \phi(n) has various special arithmetic properties, such as \phi(n)=\lambda(n)2, or \phi(n) being a sum of two squares, or the odd part of \phi(n) being squarefree, etc.
Date received: April 4, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # calz-40.