关于布鲁默-斯塔克单位公式中的统一根模糊性

Canadian Mathematical Bulletin Pub Date : 2023-12-27 DOI:10.4153/s0008439523001005

Matthew H. Honnor

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引用次数: 0

摘要

我们证明了布鲁默-斯塔克单位的一个猜想公式。达斯古普塔（Dasgupta）和卡德（Kakde）证明了该公式的正确性，直到一个有界的统一根。在本文中，我们解决了他们结果中的模糊之处。我们还删除了达斯古普塔-卡克德在公式结果中的一个假设。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the root of unity ambiguity in a formula for the Brumer–Stark units

We prove a conjectural formula for the Brumer–Stark units. Dasgupta and 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.

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Canadian Mathematical Bulletin

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