On common values of phi(n) and sigma(n), I
Number Theory
2019-10-22 v1
Abstract
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).
Keywords
Cite
@article{arxiv.1010.5427,
title = {On common values of phi(n) and sigma(n), I},
author = {Kevin Ford and Paul Pollack},
journal= {arXiv preprint arXiv:1010.5427},
year = {2019}
}
Comments
16 pages