Khintchine's theorem with a moving target
Khintchine's moving-target conjecture. If ψ:N\tomathbbR≥0\psi:\mathbb{N}\tomathbb{R}_{\geq 0}ψ:N\tomathbbR≥0 is decreasing and ∑q=1∞ψ(q)=∞\sum_{q=1}^{\infty}\psi(q)=\infty∑q=1∞ψ(q)=∞, then
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