Abundancy "Outlaws" of the Form (σ(N) + t)/N
William G. Stanton and Judy A. Holdener
Department of Mathematics
Gambier, Ohio 43022
The abundancy index of a positive integer
is defined to be the
is the sum of
. An abundancy outlaw is
a rational number greater than 1 that fails to be in the image of
of the map
. In this paper, we consider rational numbers of the
and prove that under certain conditions
such rationals are abundancy outlaws.
Full version: pdf,
Received October 25 2006;
revised version received August 31 2007; September 25 2007.
Published in Journal of Integer Sequences, September 25 2007.
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