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math.NT2025
On the Equality of Three Formulas for Brumer--Stark Units
Samit Dasgupta, Matthew H. L. Honnor, Michael SpieÃ
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.NT2024
Ranks of Matrices of Logarithms of Algebraic Numbers II: The Matrix Coefficient Conjecture
Samit Dasgupta, Mahesh Kakde
Many questions in number theory concern the nonvanishing of determinants of square matrices of logarithms (complex or p-adic) of algebraic numbers. We present a new conjecture that…