On the Solutions of σ(n) = σ(n + k)
Department of Mathematics
Southern Utah University
Cedar City, Utah 84720
Given a fixed even integer k, we show that Schinzel's hypothesis H
implies that σ(n) = σ(n + k)
infinitely often. We also discuss
the case of odd k and the more general equation
σα(n + k).
Full version: pdf,
(Concerned with sequences
Received February 26 2011;
revised version received May 2 2011.
Published in Journal of Integer Sequences, May 3 2011.
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