Decoupling theorems are established that bound the measure of E_m ∩ E_n, showing the set system (E_n) has significantly less dependence than previously supposed and implying improved extra-divergence and slow-divergence variants of the Duffin-Schaeffer conjecture.
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Decoupling theorems for the Duffin-Schaeffer problem
Decoupling theorems are established that bound the measure of E_m ∩ E_n, showing the set system (E_n) has significantly less dependence than previously supposed and implying improved extra-divergence and slow-divergence variants of the Duffin-Schaeffer conjecture.