On the Equality of Three Formulas for Brumer--Stark Units
Samit Dasgupta, Matthew H. L. Honnor, Michael Spie{\ss}
TL;DR
This paper proves the equality of three conjectural formulas for Brumer--Stark units, confirming the validity of two formulas and building on the partial proof of the first.
Contribution
It establishes the equivalence of three conjectural formulas for Brumer--Stark units, advancing understanding of their structure and relationships.
Findings
Proves the equality of three formulas for Brumer--Stark units
Verifies the validity of two formulas previously conjectural
Builds on partial proof of the first formula
Abstract
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 the other two formulas.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Graph theory and applications · Spectral Theory in Mathematical Physics