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
e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null
Evidence atom
back to sources{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_9235abf146e19b96"}
- id
- vea_0e3b8b8831719e19
- frontier
- Erdős problems frontier
- source
- vs_25e2fa0cce93eb5c
- finding
- vf_9aae8076453a57b9
finding binding
boundopen_question
Erdős Problem #522 remains OPEN. Statement: Let $f(z)=\sum_{0\leq k\leq n} \epsilon_k z^k$ be a random polynomial, where $\epsilon_k\in \{-1,1\}$ independently uniformly at random for $0\leq k\leq n$. Is it true that, if $R_n$ is the number of roots of $f(z)$ in $\{ z\in \mathbb{C} : \lvert z\rvert \leq 1\}$, then $$ \frac{R_n}{n/2}\to 1 $$ almost surely? There is some ambiguity as to whether the intended coefficient set is $\{-1, 1\}$ or $\{0, 1\}$, see `erdos_522.variants.zero_one` for the alternate version. Topics: analysis, polynomials, probability. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_9235abf146e19b96
vs_25e2fa0cce93eb5c
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_9235abf146e19b96"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_00a1d0d8f7544aeb
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_a500b344f784c345finding.assertedCandidate claim vc_9235abf146e19b96 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_111251c0b8d37420finding.addCandidate claim vc_9235abf146e19b96 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.