OpenAI reports prime-degree torus-packet equidistribution

For each fixed prime degree at least five, volume-weighted packets of totally real fields equidistribute to Haar measure as their multiplier-order discriminants grow, with no escape of mass, arbitrary local homothety type, and varying fields allowed.

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Understanding the problem

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For each fixed prime degree at least five, volume-weighted packets of totally real fields equidistribute to Haar measure as their multiplier-order discriminants grow, with no escape of mass, arbitrary local homothety type, and varying fields allowed.

Why it matters

If correct, establishes the prime-degree packet form of a higher-dimensional arithmetic equidistribution problem.

What counts as progress

Do complete torus packets equidistribute in each fixed prime degree at least five?

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