Skip to content

Erdős problem 495

Let α,βR\alpha,\beta \in \mathbb{R}. Is it true thatlim infnnnαnβ=0\liminf_{n\to \infty} n \| n\alpha \| \| n\beta\| =0? This is also known as the Littlewood conjecture.

Result history

Published changes, performers, checks, and later corrections.

No result history yet
No proposed change is retained for this Problem, so there is nothing to show a decision on.

Correction history

No correction history

Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:69ad72e4cd6c675ff299da9356b815744dc34cff0044c21cf0703a29d2e17d85
Metadata
sha256:095168777630ccc6385007a794d379b1c550bfa7dc9d179b09fad8f2a3f99321
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:8fcf2fc4f86b4e98ae14512f15b1155dcbf7f3a5a1b008bb9ad0a19c468ef281
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

Search problems.science

Find a Problem, Result, source, or page