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

Finding bundle

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A Bohr neighborhood B(Lambda, rho) is the set of x in Z/NZ where |gamma * x / N| < rho for all gamma in Lambda; its dimension d = |Lambda| controls density |B| / N >= rho^d, enabling Fourier-analytic density-increment iterations.

id: vf_69c0db505746c28e
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
version: 1
confidence: 0.85

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/frontier/sidon-sets/at/vev_0aa1bd97e1fea34dpermalink · after_hash 3c06304167b3c097…

vf_69c0db505746c28e · sidon-sets · snapshot sha256:8badc78d64f9cdb5b9e9594b0e2855d9295d4b99abf972db104f3b417fa630af · https://vela-site-next.fly.dev/frontier/sidon-sets/at/vev_0aa1bd97e1fea34d

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raw json · vf_69c0db505746c28e (2.0 KB)

machine twin · index.json

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produced byagent:research-bot-2026-05-09finding.asserted · 2026-05-09vev_0aa1bd97e1fea34d

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history · 1 event

e20/33finding.assertedagent:research-bot-2026-05-092026-05-09→3c06304167

record state

frontier-owned

Review status

unreviewed

finding statement

finding type

theoretical

No entity list is declared.

evidence

source-bound

1 atoms

theoretical · manual state transition

proof impact

packet context

1 events

1 reviewable changes and 0 evaluation records are attached to this finding id.

evidence

method

manual state transition

evidence type

theoretical

conditions

species_unverified
species_verified
text: Manually added finding; requires evidence review before scientific use.

provenance

source title

Bohr neighborhood, Bourgain 1990

authors

agent:research-bot-2026-05-09

Source records

source record

declared

Bohr neighborhood, Bourgain 1990

vs_551df53378b940f1

title:Bohr neighborhood, Bourgain 1990

manual_curation

Evidence atoms

vea_d283bf7016b42b46theoretical · unknown
A Bohr neighborhood B(Lambda, rho) is the set of x in Z/NZ where |gamma * x / N| < rho for all gamma in Lambda; its dimension d = |Lambda| controls density |B| / N >= rho^d, enabling Fourier-analytic density-increment iterations.
vs_551df53378b940f1 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_0aa1bd97e1fea34dfinding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_432a47d996c5ae1dfinding.add
Manual finding added to frontier state
applied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation record targets this finding id.

Review status

theoretical

1 atoms

1 events

Source records

Bohr neighborhood, Bourgain 1990

Evidence atoms

Typed links

Review, event, and evaluation records

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