Erdős problem 323 · problems.science

Is it true that $f_{k,k}(x) \gg_\epsilon x^{1-\epsilon}$ for all $\epsilon>0$ ?

Sources

Browse retained paths and inspect the exact material available for this Problem.

4 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

323.lean

Retained formal statement2 of 4

Is it true that if $m < k$ then $f_{k,m}(x) \gg x^{m/k}$ for sufficiently large $x$ ?

FormalConjectures/ErdosProblems/323.leanErdos323.erdos_323.parts.ii1 lineExact file

1True ↔ ∀ (k m : ℕ), 1 ≤ m → m < k → (fun x => ↑x ^ (↑m / ↑k)) =O[Filter.atTop] fun x => ↑(Erdos323.f k m x)

OpenStatement only, no proof