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Erdős problem 1002

For any 0<α<10<\alpha<1, let f(α,n)=1log⁡n∑1≤k≤n(12−{αk})f(\alpha,n)=\frac{1}{\log n}\sum_{1\leq k\leq n}(\tfrac{1}{2}- \{ \alpha k\}). Does f(α,n)f(\alpha,n) have an asymptotic distribution function?

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Problem row
sha256:c1198521061b856d3cf238cb5250f6aa57101ccf64e4eb746e8784f2ce0b55ba
Metadata
sha256:0f14d73b2162e3670783c31cb0df8cf7ea1fe260c8d371922578375b637a7b09
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:5c5d84b5e39d4b6052192d97df1b7eb7a6b7b2951ca89c2669e1dacf29d31722
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb