Erdős problem 859 · problems.science

The density of the divisor sum set is asymptotically equivalent to $c_1 / \log(t)^{c_2}$ .

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4 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

859.lean

Retained formal statement3 of 4

An easy sanity check is to prove that for every natural number t the density dₜ is a positive number. Hint: investigate some multiplicative structure of DivisorSumSet t.

FormalConjectures/ErdosProblems/859.leanErdos859.erdos_859.variants.positive_density1 lineExact file

1∀ (t : ℕ), (Erdos859.DivisorSumSet t).HasPosDensity

TextbookStatement only, no proof

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