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arXiv:1012.0080 [math.NT]AbstractReferencesReviewsResources

On common values of $φ(n)$ and $σ(m)$, II

Kevin Ford, Paul Pollack

Published 2010-12-01Version 1

Let phi(n) be Euler's totient function and let sigma(n) be the sum of the positive divisors of n. We show that most phi-values (integers in the range of phi) are not sigma-values and vice versa.

Comments: 23 pages
Journal: Algebra and Number Theory 6 (2012), no. 8, 1669-1696
Categories: math.NT
Subjects: 11N37, 11A25
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