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

back to sources

Bohr neighborhood, Bourgain 1990

id: vs_551df53378b940f1
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
type: paper

source boundary

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:Bohr neighborhood, Bourgain 1990

imported

2026-05-09T22:52:52.517794+00:00

extraction mode

manual_curation

authors

agent:research-bot-2026-05-09

caveats

No caveats recorded.

Bound findings

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.
theoretical · vf_69c0db505746c28e

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.

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 rows are attached.