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

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Singer 1938

id: vs_c4bcf864b97682ef
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:Singer 1938

imported

2026-05-09T22:52:52.243975+00:00

extraction mode

manual_curation

authors

agent:research-bot-2026-05-09

caveats

No caveats recorded.

Bound findings

Singer's perfect-difference-set construction in projective planes yields Sidon sets in {1,...,N} of size sqrt(N) + O(N^{1/4}), matching the elementary upper bound up to lower-order terms.
theoretical · vf_203f4969695ff256

Evidence atoms

vea_599d44bc66b0216etheoretical · unknown
Singer's perfect-difference-set construction in projective planes yields Sidon sets in {1,...,N} of size sqrt(N) + O(N^{1/4}), matching the elementary upper bound up to lower-order terms.

Review, event, and evaluation records

events

vev_69ef89c6d2c97f4ffinding.asserted
Manual finding added to frontier state
agent:research-bot-2026-05-09 · 2026-05-09

reviewable changes

vpr_44f9914c5b11193dfinding.add
Manual finding added to frontier state
applied · agent:research-bot-2026-05-09 · 2026-05-09

evaluations

No evaluation rows are attached.