evidence boundary
supportsfrontiers / frontier
Erdős problems frontier
- id
- vfr_37aec80d874a0239
- license
- CC-BY-4.0
- findings
- 1,256
- accepted core
- 6
- contested
- 0
- links
- 17
- sources
- 1,234
- evidence
- 1,256
- avg conf
- 0.98
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Evidence atom
back to sources{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_5019b2ae298d1cda"}
- id
- vea_4f2b1b86d9d95834
- frontier
- Erdős problems frontier
- source
- vs_1244c5992889d97d
- finding
- vf_02868ab3cae92a4c
finding binding
boundopen_question
Erdős Problem #1002 remains OPEN. Statement: For any $0<\alpha<1$, let $f(\alpha,n)=\frac{1}{\log n}\sum_{1\leq k\leq n}(\tfrac{1}{2}- \{ \alpha k\})$. Does $f(\alpha,n)$ have an asymptotic distribution function? In other words, is there a non-decreasing function $g$ such that $g(-\infty)=0$, $g(\infty)=1$, and $\lim_{n\to \infty}\lvert \{ \alpha\in (0,1): f(\alpha,n)\leq c\}\rvert=g(c)$? Topics: analysis, diophantine approximation. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_5019b2ae298d1cda
vs_1244c5992889d97d
review context
unverified1 events
1 reviewable changes and 0 evaluation records target this atom or its bound objects.
statement
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_5019b2ae298d1cda"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_49b48c9bd7e600dd
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_29a1a50780c41d45finding.assertedCandidate claim vc_5019b2ae298d1cda imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_30bbb5c8f43af398finding.addCandidate claim vc_5019b2ae298d1cda imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.