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

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Inverse Gowers theorem, Green-Tao-Ziegler 2012

id: vs_d37bb918e41de908
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
type: paper

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frontier-owned

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finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

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1 events

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

citation

locator

title:Inverse Gowers theorem, Green-Tao-Ziegler 2012

imported

2026-05-09T22:52:52.427688+00:00

extraction mode

manual_curation

authors

agent:research-bot-2026-05-09

caveats

No caveats recorded.

Bound findings

Functions with large Gowers U^{s+1}-norm correlate with nilsequences of step s; this inverse theorem is the analytic engine behind quantitative Szemeredi for arbitrary k.
theoretical · vf_d018b0dfe8574a33

Evidence atoms

vea_a78382a33d80bfddtheoretical · unknown
Functions with large Gowers U^{s+1}-norm correlate with nilsequences of step s; this inverse theorem is the analytic engine behind quantitative Szemeredi for arbitrary k.

Review, event, and evaluation records

events

vev_2eb7b1fd630b1fe0finding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_7ff6228e76041a1dfinding.add
Manual finding added to frontier state
applied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

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