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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):

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