S(x) satisfies S(x)/(x (log x)^R) → +∞ as x → ∞ for every fixed R > 0, resolving Erdős Problem 1061.
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A resolution of Erd\H{o}s Problem 1061 on the sum-of-divisors function
S(x) satisfies S(x)/(x (log x)^R) → +∞ as x → ∞ for every fixed R > 0, resolving Erdős Problem 1061.