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On common values of $\phi(n)$ and $\sigma(m)$, II

Number Theory 2014-03-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1012.0080,
  title  = {On common values of $\phi(n)$ and $\sigma(m)$, II},
  author = {Kevin Ford and Paul Pollack},
  journal= {arXiv preprint arXiv:1012.0080},
  year   = {2014}
}

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23 pages