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Erdős problem 495

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Let α,β∈R\alpha,\beta \in \mathbb{R}. Is it true thatlim inf⁡n→∞n∥nα∥∥nβ∥=0\liminf_{n\to \infty} n \| n\alpha \| \| n\beta\| =0? This is also known as the Littlewood conjecture.

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Problem row
sha256:69ad72e4cd6c675ff299da9356b815744dc34cff0044c21cf0703a29d2e17d85
Metadata
sha256:095168777630ccc6385007a794d379b1c550bfa7dc9d179b09fad8f2a3f99321
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:8fcf2fc4f86b4e98ae14512f15b1155dcbf7f3a5a1b008bb9ad0a19c468ef281
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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