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The Near-Quadratic Elekes-Ronyai Expander Conjecture

The near-quadratic Elekes-Ronyai expander conjecture over R\mathbb{R} predicts that a nonspecial polynomial expands any finite set to near-quadratic size. False: a fixed nonspecial quadratic polynomial, together with arbitrarily large finite sets of real algebraic integers, has image with a fixed power saving from quadratic size.

Exact FrontierDelta

disproveddisproved

Scope and record

Occurred: Sep 3, 2026

Delta type: REGISTRY REVISION

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: The Near-Quadratic Elekes-Ronyai Expander Conjecture · Elekes-Ronyai expander

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

ChatGPT 5.5 Pro
model · ai model contributor · OpenAI / Frenzy Math

Rethlas
model · ai model contributor · OpenAI / Frenzy Math

Jihao Liu
human · human collaborator

Lineage and corrections

Corrects The Near-Quadratic Elekes-Ronyai Expander Conjecture

Supersedes The Near-Quadratic Elekes-Ronyai Expander Conjecture

This event attributed to Rethlas

The Near-Quadratic Elekes-Ronyai Expander Conjecture parent of this event

The Near-Quadratic Elekes-Ronyai Expander Conjecture evidence for this event

This event attributed to Jihao Liu

VibeMathed record: The Near-Quadratic Elekes-Ronyai Expander Conjecture evidence for this event

This event attributed to ChatGPT 5.5 Pro

The near-quadratic Elekes-Ronyai expander conjecture over R\mathbb{R} predicts that a nonspecial polynomial expands any finite set to near-quadratic size. False: a fixed nonspecial quadratic polynomial, together with arbitrarily large finite sets of real algebraic integers, has image with a fixed power saving from quadratic size. parent of this event

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