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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Gowers gave the first quantitative proof of Szemeredi's theorem with effective bounds, introducing higher-order Fourier analysis (Gowers norms U^k) as the central tool.

id: vf_26b3e76e95e01f3e
frontier: Additive combinatorics: Sidon sets and N(h,k) bounds
version: 1
confidence: 0.85

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file

/frontier/sidon-sets/at/vev_691c3733a1be2ffbpermalink · after_hash cff17b4b3be97c45…

vf_26b3e76e95e01f3e · sidon-sets · snapshot sha256:8badc78d64f9cdb5b9e9594b0e2855d9295d4b99abf972db104f3b417fa630af · https://vela-site-next.fly.dev/frontier/sidon-sets/at/vev_691c3733a1be2ffb

cite

raw json · vf_26b3e76e95e01f3e (1.9 KB)

machine twin · index.json

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produced byagent:research-bot-2026-05-09finding.asserted · 2026-05-09vev_691c3733a1be2ffb

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history · 1 event

e15/33finding.assertedagent:research-bot-2026-05-092026-05-09→cff17b4b3b

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

Gowers 2001

authors

agent:research-bot-2026-05-09

Source records

source record

declared

Gowers 2001

vs_cb684b81e4ca50e5

title:Gowers 2001

manual_curation

Evidence atoms

vea_a4c7c632bb7d3d22theoretical · unknown
Gowers gave the first quantitative proof of Szemeredi's theorem with effective bounds, introducing higher-order Fourier analysis (Gowers norms U^k) as the central tool.
vs_cb684b81e4ca50e5 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

No incoming links.

Review, event, and evaluation records

events

vev_691c3733a1be2ffbfinding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_7b2fa965aa1014d3finding.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

Gowers 2001

Evidence atoms

Typed links

Review, event, and evaluation records

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