On the Root of Unity Ambiguity in a Formula for the Brumer--Stark Units
Number Theory
2025-12-18 v3
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.
Keywords
Cite
@article{arxiv.2302.12332,
title = {On the Root of Unity Ambiguity in a Formula for the Brumer--Stark Units},
author = {Matthew H. L. Honnor},
journal= {arXiv preprint arXiv:2302.12332},
year = {2025}
}
Comments
12 pages. This version proves a stronger result, dealing with the ambiguity at 2