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math.NT2022
On the Equality of Three Formulas for Brumer--Stark Units
Samit Dasgupta, Matthew H. L. Honnor, Michael Spieß
We prove the equality of three conjectural formulas for the Brumer--Stark units. The first formula has essentially been proven, so the present paper also verifies the validity of t…
math.NT2022
On the Brumer-Stark Conjecture and Refinements
Samit Dasgupta, Mahesh Kakde
We state the Brumer-Stark conjecture and motivate it from two perspectives. Stark's perspective arose in his attempts to generalize the classical Dirichlet class number formula for…