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Erdős problem 320

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Let S(N)S(N) count the distinct values of ∑n∈A1/n\sum_{n\in A} 1/n over A⊆{1,…,N}A\subseteq\{1,\dots,N\}. Estimate S(N)S(N).

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Number Theory576Unit Fractions48
Erdős problem 321accepted
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