范数剩余符号的新显式公式及其应用

L. Kuz'min
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引用次数: 11

摘要

本文给出了局部环切域上范数剩数符号的一个新的显式公式,该公式特别适合于zl扩展的工作。给出了该公式在l进调节器猜想中的几种应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NEW EXPLICIT FORMULAS FOR THE NORM RESIDUE SYMBOL, AND THEIR APPLICATIONS
The author obtains a new explicit formula for the norm residue symbol in a local cyclotomic field which is especially suitable for work in Zl-extensions. Several applications of this formula to a conjecture on the l-adic regulator are given.
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