frontiers / frontier

Additive combinatorics: Sidon sets and N(h,k) bounds

id: vfr_496956067dc5ad79
license: CC-BY-4.0
findings: 22
accepted core: 1
contested: 1
links: 0
sources: 22
evidence: 22
avg conf: 0.83

used by 1 · replayed by 1 producer · second seat open

e33/33 · finding.asserted · reviewer:will · 2026-06-03 · null→e123

Source record

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Bourgain 1999

id: vs_4e47b67b4645ebc9
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
type: paper

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frontier-owned

declared

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

1 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

locator

title:Bourgain 1999

imported

2026-05-09T22:52:52.332367+00:00

extraction mode

manual_curation

authors

agent:research-bot-2026-05-09

caveats

No caveats recorded.

Bound findings

Bourgain's Fourier-analytic increment argument lowers the density threshold for 3-AP existence in {1,...,N} to alpha > C * (log log N)^2 / sqrt(log N).
theoretical · vf_d7781ce5f2c7330a

Evidence atoms

vea_b9ff3d8dd467bcc7theoretical · unknown
Bourgain's Fourier-analytic increment argument lowers the density threshold for 3-AP existence in {1,...,N} to alpha > C * (log log N)^2 / sqrt(log N).

Review, event, and evaluation records

events

vev_fbadbe719c1840d5finding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_7092498559ec0e3ffinding.add
Manual finding added to frontier state
applied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation rows are attached.