On the Root of Unity Ambiguity in a Formula for the Brumer--Stark Units

2023/02/23 by Honnor, Matthew H. L.
#11R27 #11R42 #11R80 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2302.12332

Abstract

We prove a conjectural formula for the Brumer--Stark units. Dasgupta--Kakde have shown the formula is correct up to a bounded root of unity. In this paper we resolve the ambiguity in their result. We also remove an assumption from Dasgupta--Kakde's result on the formula.

Related

• On the Equality of Three Formulas for Brumer--Stark Units
• The index of Rubin-Stark units
• Comparing Two Formulas for the Gross-Stark Units
• Index formulae for Stark units and their solutions
• The Brumer--Stark Conjecture over Z