| # Torus-packet equidistribution in prime, quartic, and sextic degrees | |
| The following describes the scope of the Lean formalization related to the following accompanying paper(s): | |
| - [Equidistribution of Prime-Degree Torus Packets with Arbitrary Local Type](../../preprints/Equidistribution-of-Prime-Degree-Torus-Packets-with-Arbitrary-Local-Type-September-24-2026/paper.pdf) | |
| ## Scope | |
| The formalization proves equidistribution of volume-weighted torus packets for totally real number fields of every fixed prime degree at least five. For any sequence of full lattices whose multiplier-order discriminants tend to infinity, the packet measures converge weakly to Haar probability measure and form a tight family, so no mass escapes. Arbitrary local homothety types are allowed, and the fields may vary along the sequence. | |
| ## Comparator links | |
| | Result | Comparator statement | | |
| | --- | --- | | |
| | Equidistribution of prime-degree torus packets | [DukePrimeDegree.lean](../ComparatorChallenges/DukePrimeDegree.lean) | | |