Commit 2025-03-13 17:27 d92ab795
View on Github →feat(NumberField/MixedSpace): add polar coordinates change of variables (part 2) (#22115)
This is a follow-up of #22120. We prove that if a measurable set A
of the mixed space ℝ^r₁ × ℂ^r₂
has enough symmetry, in the sense that
normAtComplexPlaces⁻¹ (normAtComplexPlaces '' A) = A
or
normAtAllPlaces⁻¹ (normAtAllPlaces '' A) = A
,
then one can compute its volume via an integral over its projection normAtComplexPlaces '' A
, or normAtAllPlaces '' A
respectively, on ℝ^(r₁+r₂)
.
This PR is part of the proof of the Analytic Class Number Formula.