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Pólya's Conjecture for Neumann Balls in Dimensions Three and Higher

The ball case. For arbitrary domains Pólya's conjecture remains open; this continues the authors' programme after the planar disk, circular sectors, and the Dirichlet case in arbitrary dimensions.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 31, 2026

Delta type: SOURCE CLAIM

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

Canonical aliases: Pólya's Conjecture for Neumann Balls in Dimensions Three and Higher · Pólya, Neumann balls

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

ChatGPT + Claude (several models)
model · ai model contributor

Nikolay Filonov
human · human collaborator

Michael Levitin
human · human collaborator

Iosif Polterovich
human · human collaborator

David A. Sher
human · human collaborator

Lineage and corrections

This event attributed to Nikolay Filonov

This event attributed to Michael Levitin

This event attributed to Iosif Polterovich

This event attributed to David A. Sher

This event attributed to ChatGPT + Claude (several models)

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