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

Sanders' bound: density alpha > C * (log log N)^4 / log N is sufficient to guarantee a 3-term AP in any subset of {1,...,N}.

id
vea_d329d7aab20b623d
frontier
Additive combinatorics: Sidon sets and N(h,k) bounds
source
vs_09e905c736db9a3d
finding
vf_e2252a5f8d8a5049

evidence boundary

unknown

theoretical

finding binding

bound

theoretical

Sanders' bound: density alpha > C * (log log N)^4 / log N is sufficient to guarantee a 3-term AP in any subset of {1,...,N}.

source binding

source-bound

Sanders 2011

vs_09e905c736db9a3d

review context

unverified

1 events

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

statement

Sanders' bound: density alpha > C * (log log N)^4 / log N is sufficient to guarantee a 3-term AP in any subset of {1,...,N}.

extraction method

manual_curation

support relation

unknown

condition refs

vcnd_5858437ec952238c

caveats

  • missing evidence locator

Review, event, and evaluation records

2

events

  • vev_5556d3110ede8413finding.asserted

    Manual finding added to frontier state

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

reviewable changes

  • vpr_3ff7da5280e3bb36finding.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.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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