Vela

frontiers / frontier

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

constellation seal · derived from vfr_496956067dc5ad79
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

Evidence atom

back to sources

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
vea_a4c7c632bb7d3d22
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
source
vs_cb684b81e4ca50e5
finding
vf_26b3e76e95e01f3e

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

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.

source binding

source-bound

Gowers 2001

vs_cb684b81e4ca50e5

review context

unverified

1 events

1 reviewable changes and 0 evaluation records target this atom or its bound objects.

statement

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.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_69744c1c41cb9b4c

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_691c3733a1be2ffbfinding.asserted

    Manual finding added to frontier state

    agent — machine actor, no signing keyagent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

  • vpr_7b2fa965aa1014d3finding.add

    Manual finding added to frontier state

    agent — machine actor, no signing keyapplied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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