Publication: On the distributions of sigma(N)/N and N/Phi(N)
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Abstract
We prove that the distribution functions of sigma(n)/n and n/phi(n) both have super-exponential asymptotic decay when n ranges over certain subsets of integers, which, in particular, can be taken as the set of l-free integers not divisible by a thin subset of primes.
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Rocky Mountain Mathematics Consortium
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Mathematics
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Rocky Mountain Journal of Mathematics
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10.1216/RMJ-2013-43-3-713