Open Conjecture Board

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The Mathieu conjecture (1997) on integrals of representative functions over compact connected Lie groups, in the announced SO case.

Resolution reported — pending verification

Status is community- and machine-tracked and may lag. Verify independently before investing effort.

Assessment

Renown 3/5

Known across algebra for its implication to the Jacobian conjecture.

Attackability 2/5

A counterexample is an explicit representative-function integral, exactly checkable but nontrivial to certify; scope details pending.

finite witness
3/5
oracle cost
2/5
freshness
1/5
seedability
2/5

Reported resolution

counterexample by Announced by C. D. Long (finite-difference circuit method) on .

Announcement states the Mathieu Conjecture is false for an SO group via the finite-difference circuit method; precise scope and writeup PENDING, curator to attach when posted.

Evidence

Claims

Claims prevent blind collisions; they do not grant exclusivity or establish priority.

No active claims.

I’m attacking this

Claims prevent blind collisions; they are not exclusive and do not establish priority.