On common values of phi(n) and sigma(n), I

Details On common values of phi(n) and sigma(n), I On common values of phi(n) and sigma(n), I

2010-10-26

arxiv.org/abs/1010.5427v1

Mathematics

Number Theory

16 pages

Scientific paper

We show, conditional on a uniform version of the prime k-tuples conjecture,
that there are x(log x)^{-1+o(1)} numbers not exceeding x common to the ranges
of Euler's function phi(n) and the sum-of-divisors function sigma(m).

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